Search: a254108 -id:a254108
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1, 3, 2, 4, 6, 5, 7, 9, 13, 12, 8, 14, 20, 28, 27, 10, 17, 29, 43, 59, 58, 11, 21, 36, 60, 90, 122, 121, 15, 24, 44, 75, 123, 185, 249, 248, 16, 30, 51, 91, 154, 250, 376, 504, 503, 18, 33, 61, 106, 186, 313, 505, 759, 1015, 1014, 19, 37, 68, 124, 217, 377, 632, 1016, 1526, 2038, 2037, 22, 40, 76, 139, 251, 440, 760, 1271, 2039, 3061, 4085, 4084
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OFFSET
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1,2
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COMMENTS
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This is dispersion array A254105 transposed. Please see there for a description.
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LINKS
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FORMULA
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If row = 1, then A(row,col) = A005187(col), otherwise A(row,col) = A055938(A(row-1,col)).
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EXAMPLE
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The top left corner of the array:
1, 3, 4, 7, 8, 10, 11, 15, 16, 18, 19, 22
2, 6, 9, 14, 17, 21, 24, 30, 33, 37, 40, 45
5, 13, 20, 29, 36, 44, 51, 61, 68, 76, 83, 92
12, 28, 43, 60, 75, 91, 106, 124, 139, 155, 170, 187
27, 59, 90, 123, 154, 186, 217, 251, 282, 314, 345, 378
58, 122, 185, 250, 313, 377, 440, 506, 569, 633, 696, 761
121, 249, 376, 505, 632, 760, 887, 1017, 1144, 1272, 1399, 1528
248, 504, 759, 1016, 1271, 1527, 1782, 2040, 2295, 2551, 2806, 3063
503, 1015, 1526, 2039, 2550, 3062, 3573, 4087, 4598, 5110, 5621, 6134
1014, 2038, 3061, 4086, 5109, 6133, 7156, 8182, 9205, 10229, 11252, 12277
etc.
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PROG
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(Scheme)
(define (A254105bi row col) (if (= 1 col) (A005187 row) (A055938 (A254105bi row (- col 1)))))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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1, 2, 3, 6, 4, 5, 10, 15, 9, 21, 28, 7, 8, 14, 36, 45, 20, 55, 66, 13, 27, 78, 91, 35, 105, 120, 11, 12, 19, 44, 136, 153, 54, 171, 190, 26, 65, 210, 231, 77, 253, 276, 18, 34, 90, 300, 325, 104, 351, 378, 43, 119, 406, 435, 135, 465, 496, 16, 17, 25, 53, 152, 528, 561, 170, 595, 630, 64, 189, 666, 703, 209, 741, 780, 33, 76
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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PROG
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(Scheme) (define (A254106 n) (let ((col (A254112 n)) (row (A254111 n))) (* (/ 1 2) (- (expt (+ col row) 2) col row row row -2))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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