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A009929 Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm. 0

%I

%S 1,1,15,9,19,33,41,6,54,119,74,165,0,191,92,286,150,214,389,297,168,

%T 439,432,386,52,543,99,416,536,902,427,225,497,194,1168,850,806,399,

%U 955,665,519,1648,597,1378,547,786,1516,978,1169,53,988

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

%F 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

%o (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);

%Y Cf. A001620.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, _Bill Gosper_

%E More terms from _Sean A. Irvine_, May 01 2018

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Last modified October 6 04:36 EDT 2022. Contains 357261 sequences. (Running on oeis4.)