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A192733 Euler transform is sequence A004016. 1
6, -21, 76, -345, 1734, -8906, 46662, -250257, 1365388, -7538421, 42030150, -236312690, 1338000774, -7620721077, 43626920908, -250869973089, 1448248263558, -8389624496618, 48751103123142, -284073748405401, 1659452645344972, -9715933503018165 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

FORMULA

a(q) = Prod_{k>0} (1 - q^k)^-a(k).

PROG

(PARI) {a(n) = local(A, S); if( n<1, 0, A = 1 + x * O(x^n); S = sum( k= 1, n, 6 * sumdiv( k, d, kronecker( d, 3)) * x^k, A); for( k = 1, n-1, S *= (A - x^k) ^ polcoeff( S, k)); polcoeff( S, n))}

CROSSREFS

Cf. A004016.

Sequence in context: A006814 A108136 A054625 * A192144 A026628 A053768

Adjacent sequences:  A192730 A192731 A192732 * A192734 A192735 A192736

KEYWORD

sign

AUTHOR

Michael Somos, Jul 08 2011

STATUS

approved

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Last modified May 22 15:37 EDT 2017. Contains 286877 sequences.