Search: id:a095277
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A095277
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Numbers k such that 4k + 3 is composite.
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+0
9
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3, 6, 8, 9, 12, 13, 15, 18, 21, 22, 23, 24, 27, 28, 29, 30, 33, 35, 36, 38, 39, 42, 43, 45, 46, 48, 50, 51, 53, 54, 57, 58, 60, 61, 63, 64, 66, 68, 69, 71, 72, 73, 74, 75, 78, 79, 80, 81, 83, 84, 85, 87, 88, 90, 92, 93, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 108
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OFFSET
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1,1
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COMMENTS
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Terms can be written as (4xy +- (x-y)) - 1 for x > 0, y > 0. - Ron R Spencer, Aug 01 2016
Numbers k such that (4*k)!/(4*k + 3) is an integer. - Peter Bala, Jan 25 2017
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LINKS
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FORMULA
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EXAMPLE
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Distribution of the positive terms in the following triangular array:
*;
3, *;
*, 8, *;
6, *, 15, *;
*, 13, *, 24, *;
9, *, 22, *, 35, *;
*, 18, *, 33, *, 48, *;
etc., where * marks the noninteger values of (2*h*k + k + h-1)/2 with h >= k >= 1. - Vincenzo Librandi, Apr 22 2014
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MAPLE
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for n from 0 to 100 do
if irem(factorial(4*n), 4*n+3) = 0 then print(n); end if;
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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