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A005724 Quadrinomial coefficients.
(Formerly M3148)
0
3, 40, 546, 7728, 112035, 1650792, 24608948, 370084832, 5603730876, 85316186400, 1304770191802, 20029132137840, 308437355259930, 4762695514958640, 73716196036213800, 1143325208566357440, 17765127399780725316, 276484586847524844768, 4309270265307160983144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 78.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..19.

R. K. Guy, Letter to N. J. A. Sloane, 1987

FORMULA

a(n) = A008287(2 * n, 3 * n - 1). - Sean A. Irvine, Aug 15 2016

MAPLE

seq(coeff((1+x+x^2+x^3)^(2*n), x, 3*n-1), n=1..30); # Robert Israel, Aug 15 2016

CROSSREFS

Cf. A008287.

Sequence in context: A293501 A002700 A220639 * A215196 A093376 A051571

Adjacent sequences:  A005721 A005722 A005723 * A005725 A005726 A005727

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset changed by Robert Israel, Aug 15 2016

STATUS

approved

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Last modified November 17 19:26 EST 2018. Contains 317276 sequences. (Running on oeis4.)