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A052226 Partial sums of A050404. 2
1, 15, 92, 372, 1170, 3102, 7260, 15444, 30459, 56485, 99528, 167960, 273156, 430236, 658920, 984504, 1438965, 2062203, 2903428, 4022700, 5492630, 7400250, 9849060, 12961260, 16880175 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

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

Murray R. Spiegel,Calculus of Finite Differences and Difference Equations, "Schaum's Outline Series",McGraw-Hill,1971, pp. 10-20,79-94.

FORMULA

a(n)=(8n+7)*C(n+6, 6)/7

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

MATHEMATICA

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

CROSSREFS

Cf. A050404.

Cf. A093565 ((8, 1) Pascal, column m=7).

Sequence in context: A020255 A180248 A041428 * A108684 A125325 A126483

Adjacent sequences:  A052223 A052224 A052225 * A052227 A052228 A052229

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jan 29 2000

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.