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A195130 Series inversion of A100130. 2
1, 24, 852, 35744, 1645794, 80415216, 4094489992, 214888573248, 11542515402255, 631467591949480, 35063515239394764, 1971043639046131296, 111949770626330347638, 6414671157989386260432, 370360217892318010055832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

FORMULA

A005149(n) = -(-1)^n * a(n).

EXAMPLE

q + 24*q^2 + 852*q^3 + 35744*q^4 + 1645794*q^5 + 80415216*q^6 + ...

MATHEMATICA

a[ n_] := If[ n < 1, 0, SeriesCoefficient[ InverseSeries[ Series[ q / QPochhammer[ -q, q^2]^24, {q, 0, n}], q], {q, 0, n}]]

PROG

(PARI) {a(n) = if( n<1, 0, polcoeff( serreverse( x * prod( k=1, n, 1 + (-x)^k, 1 + x * O(x^n) )^24), n))}

CROSSREFS

Cf. A005149, A100130.

Sequence in context: A204559 A078522 A208792 * A005149 A027411 A184281

Adjacent sequences:  A195127 A195128 A195129 * A195131 A195132 A195133

KEYWORD

nonn

AUTHOR

Michael Somos, Sep 11 2011

STATUS

approved

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Last modified July 31 09:25 EDT 2014. Contains 245083 sequences.