A051879 Partial sums of A051798.

1, 14, 69, 224, 574, 1260, 2478, 4488, 7623, 12298, 19019, 28392, 41132, 58072, 80172, 108528, 144381, 189126, 244321, 311696, 393162, 490820, 606970, 744120, 904995, 1092546, 1309959, 1560664

Offset

0,2

Comments

Convolution of triangular numbers (A000217) and hendecagonal numbers (A051682). [Bruno Berselli, Jul 21 2015]

References

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

Herbert John Ryser, Combinatorial Mathematics, "The Carus Mathematical Monographs", No. 14, John Wiley and Sons, 1963, pp. 1-16.

Links

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

a(n) = C(n+4, 4)*(9n+5)/5.

G.f.: (1+8*x)/(1-x)^6.

Mathematica

Accumulate[Table[(n+1)(n+2)(n+3)(9n+4)/24, {n, 0, 40}]] (* Harvey P. Dale, Aug 19 2012 *)

Crossrefs

Cf. A051798; A000217, A051682.

Cf. A093644((9, 1) Pascal, column m=5).

Cf. A050405.

Sequence in context: A347673 A249708 A008354 * A236157 A002423 A212751

Adjacent sequences: A051876 A051877 A051878 * A051880 A051881 A051882

Keyword

nonn,easy

Author

Barry E. Williams, Dec 14 1999

Status

approved