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A051947 Partial sums of A034263. 5
1, 10, 49, 168, 462, 1092, 2310, 4488, 8151, 14014, 23023, 36400, 55692, 82824, 120156, 170544, 237405, 324786, 437437, 580888, 761530, 986700, 1264770, 1605240, 2018835, 2517606, 3115035, 3826144, 4667608, 5657872, 6817272, 8168160, 9735033, 11544666 (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..33.

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

FORMULA

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

G.f.: (1+3*x)/(1-x)^7.

MATHEMATICA

Nest[Accumulate, Range[1, 160, 4], 5] (* Vladimir Joseph Stephan Orlovsky, Jan 29 2012 *)

CROSSREFS

Cf. A034263.

Cf. A093561 ((4, 1) Pascal, column m=6).

Sequence in context: A163716 A271662 A244864 * A274561 A253221 A222633

Adjacent sequences:  A051944 A051945 A051946 * A051948 A051949 A051950

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 October 21 02:41 EDT 2018. Contains 316405 sequences. (Running on oeis4.)