A009929 Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.

1, 1, 15, 9, 19, 33, 41, 6, 54, 119, 74, 165, 0, 191, 92, 286, 150, 214, 389, 297, 168, 439, 432, 386, 52, 543, 99, 416, 536, 902, 427, 225, 497, 194, 1168, 850, 806, 399, 955, 665, 519, 1648, 597, 1378, 547, 786, 1516, 978, 1169, 53, 988

Offset

1,3

Links

Table of n, a(n) for n=1..51.

Formula

a(n) = floor(n! * n * (n+1)! * b(n-1))) where b(0) = gamma and b(n) = b(n-1) - a(n) / (n! * n *(n+1)!). - Sean A. Irvine, May 01 2018

Prog

(Macsyma) Ouang(x, n) := block([ ans : [ ] ], for k through n do (push(floor(multthru(k!*k*(k+1)!, x)), ans), x: x-ans[ 1 ]/(k!*k*(k+1)!)), reverse(ans)); Ouang(%gamma, 25);

Crossrefs

Cf. A001620.

Sequence in context: A349478 A182165 A139725 * A166523 A123542 A215236

Adjacent sequences: A009926 A009927 A009928 * A009930 A009931 A009932

Keyword

nonn

Author

N. J. A. Sloane, Bill Gosper

Extensions

More terms from Sean A. Irvine, May 01 2018

Status

approved