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A069982 Number of 4-gonal compositions of n into positive parts. 1
0, 0, 0, 0, 1, 4, 10, 16, 31, 40, 68, 80, 125, 140, 206, 224, 315, 336, 456, 480, 633, 660, 850, 880, 1111, 1144, 1420, 1456, 1781, 1820, 2198, 2240, 2675, 2720, 3216, 3264, 3825, 3876, 4506, 4560, 5263, 5320, 6100, 6160, 7021, 7084, 8030 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..46.

G. E. Andrews, P. Paule and A. Riese, MacMahon's partition analysis III. The Omega package, p. 17.

G. E. Andrews, P. Paule and A. Riese, MacMahon's Partition Analysis: The Omega Package, Europ. J. Combin., 22 (2001), 887-904.

FORMULA

G.f.: q^4/(1-q)^4-4*q^7/(1-q)^4/(1+q)^3.

a(n) = (2*n^3-3*n^2-23*n+3*(1+12*(-1)^(2^n)+(n^2-7*n+11)*(-1)^n))/24. - Luce ETIENNE, Jul 02 2015

CROSSREFS

Cf. A069981, A069983, A005044.

Sequence in context: A027425 A024992 A224966 * A009883 A163389 A172126

Adjacent sequences:  A069979 A069980 A069981 * A069983 A069984 A069985

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 06 2002

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)