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A034255
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Related to quartic factorial numbers A007696.
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4
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1, 10, 120, 1560, 21216, 297024, 4243200, 61526400, 902387200, 13355330560, 199115837440, 2986737561600, 45030812467200, 681895160217600, 10364806435307520, 158063298138439680, 2417438677411430400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
| a(n) = 4^(n-1)*A007696(n)/n!, A007696(n)=(4*n-3)(!^4) := product(4*j-3, j=1..n), n >= 1; G.f. (-1+(1-16*x)^(-1/4))/4.
Convolution of A034385(n-1) with A025749(n), n >= 1.
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MATHEMATICA
| Rest[CoefficientList[Series[(-1+(1-16x)^(-1/4))/4, {x, 0, 20}], x]] (* From Harvey P. Dale, May 19 2011 *)
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CROSSREFS
| Cf. A007696. a(n)= A048882(n, 1) (first column of triangle).
Sequence in context: A024127 A005949 A027568 * A051582 A122420 A069671
Adjacent sequences: A034252 A034253 A034254 * A034256 A034257 A034258
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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