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A050404 Partial sums of A051878. 2
1, 14, 77, 280, 798, 1932, 4158, 8184, 15015, 26026, 43043, 68432, 105196, 157080, 228684, 325584, 454461, 623238, 841225, 1119272, 1469930, 1907620, 2448810, 3112200, 3918915, 4892706, 6060159, 7450912 (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)*(4n+3)/3.

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

MATHEMATICA

s=c=z=0; Table[z+=c+=s+=n(n+1)(8n-5)/6, {n, 80}] (* Vladimir Joseph Stephan Orlovsky, Apr 19 2011 *)

CROSSREFS

Cf. A051878.

Cf. A093565 ((8, 1) Pascal, column m=6).

Sequence in context: A022706 A269495 A085462 * A044201 A044582 A058895

Adjacent sequences:  A050401 A050402 A050403 * A050405 A050406 A050407

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 January 18 19:37 EST 2018. Contains 297865 sequences.