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A034256 Expansion of 2-(1-16*x)^(1/4), related to quartic factorial numbers A034176. 2
1, 4, 24, 224, 2464, 29568, 374528, 4922368, 66451968, 915560448, 12817846272, 181780365312, 2605518569472, 37679807004672, 549048616353792, 8052713039855616, 118777517337870336, 1760702021714313216 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = 4^n*3*A034176(n-1)/n!, n >= 2, 3*A034176(n-1)=(4*n-5)(!^4) := product(4*j-5, j=2..n); G.f.: 2-(1-16*x)^(1/4).

CROSSREFS

Cf. A034176.

Equals 4 * A025749(n), n>0.

Sequence in context: A166881 A183279 A145237 * A179539 A216857 A224800

Adjacent sequences:  A034253 A034254 A034255 * A034257 A034258 A034259

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified June 19 19:50 EDT 2013. Contains 226416 sequences.