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A050405 Partial sums of A051879. 3
1, 15, 84, 308, 882, 2142, 4620, 9108, 16731, 29029, 48048, 76440, 117572, 175644, 255816, 364344, 508725, 697851, 942172, 1253868, 1647030, 2137850, 2744820, 3488940, 4393935, 5486481, 6796440, 8357104 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n)=C(n+5, 5)*(3n+2)/2.

G.f.: (1+8*x)/(1-x)^7.

MATHEMATICA

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

CROSSREFS

Cf. A051879.

Cf. A093644 ((9, 1) Pascal, column m=6).

Sequence in context: A252935 A247958 A108674 * A241220 A279740 A281189

Adjacent sequences:  A050402 A050403 A050404 * A050406 A050407 A050408

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Dec 21 1999

EXTENSIONS

Corrected by T. D. Noe, Nov 09 2006

STATUS

approved

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Last modified August 18 14:34 EDT 2018. Contains 313832 sequences. (Running on oeis4.)