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A232976 Numerators of coefficients in expansion of Product_{k>=1} 1/(1-x^k)^(k/2). 1
1, 1, 11, 37, 563, 1695, 12255, 36333, 972867, 2946747, 18641221, 55674771, 691993655, 2037484683, 12296580999, 36106933117, 1708708848483, 4955653540051, 28943726818665, 83124892750711, 958302911335293, 2730521640247521, 15561772451632937, 43970981993285115, 993588138105790887, 2785544697144356207, 15601240187271712393, 43442724873393477375, 482971671644633204159 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This is the square root of the g.f. for planar partitions (A000219).

LINKS

Table of n, a(n) for n=0..28.

EXAMPLE

1, 1/2, 11/8, 37/16, 563/128, 1695/256, 12255/1024, 36333/2048, 972867/32768, ...

MAPLE

mul( 1/(1-x^k)^(k/2), k=1..29) ;

taylor(%, x=0, 29) ;

gfun[seriestolist](%) ;

map(numer, %) ; # R. J. Mathar, Dec 08 2013

CROSSREFS

Denominators are A046161. Cf. A000219.

Sequence in context: A052432 A104269 A084014 * A084018 A235874 A012820

Adjacent sequences: A232973 A232974 A232975 * A232977 A232978 A232979

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Dec 07 2013

STATUS

approved

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Last modified November 29 16:20 EST 2022. Contains 358431 sequences. (Running on oeis4.)