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A051879 Partial sums of A051798. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A244943 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

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Last modified February 19 09:13 EST 2018. Contains 299330 sequences. (Running on oeis4.)