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A256995
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Square array A(row,col) read by antidiagonals: A(row,1) = A055938(row), and for col > 1, A(row,col) = A005187(A(row,col-1)).
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8
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2, 3, 5, 4, 8, 6, 7, 15, 10, 9, 11, 26, 18, 16, 12, 19, 49, 34, 31, 22, 13, 35, 95, 66, 57, 41, 23, 14, 67, 184, 130, 110, 79, 42, 25, 17, 131, 364, 258, 215, 153, 81, 47, 32, 20, 259, 723, 514, 424, 302, 159, 89, 63, 38, 21, 515, 1440, 1026, 844, 599, 312, 174, 120, 73, 39, 24, 1027, 2876, 2050, 1683, 1192, 620, 343, 236, 143, 74, 46, 27
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OFFSET
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2,1
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COMMENTS
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The array is read by antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
This is transpose of array A256997.
If we assume that a(1) = 1 (but which is not explicitly included here because outside of the array proper), then A256996 gives the inverse permutation.
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LINKS
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FORMULA
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A(row,1) = A055938(row), and for col > 1, A(row,col) = A005187(A(row,col-1)).
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EXAMPLE
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The top left corner of the array:
2, 3, 4, 7, 11, 19, 35, 67, 131, 259, 515, 1027
5, 8, 15, 26, 49, 95, 184, 364, 723, 1440, 2876, 5745
6, 10, 18, 34, 66, 130, 258, 514, 1026, 2050, 4098, 8194
9, 16, 31, 57, 110, 215, 424, 844, 1683, 3360, 6716, 13425
12, 22, 41, 79, 153, 302, 599, 1192, 2380, 4755, 9504, 19004
13, 23, 42, 81, 159, 312, 620, 1235, 2464, 4924, 9841, 19675
14, 25, 47, 89, 174, 343, 680, 1356, 2707, 5408, 10812, 21617
17, 32, 63, 120, 236, 467, 928, 1852, 3697, 7387, 14765, 29521
20, 38, 73, 143, 281, 558, 1111, 2216, 4428, 8851, 17696, 35388
21, 39, 74, 145, 287, 568, 1132, 2259, 4512, 9020, 18033, 36059
...
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PROG
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(Scheme)
(define (A256995bi row col) (if (= 1 col) (A055938 row) (A005187 (A256995bi 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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