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A050403 Partial sums of A051877. 2
1, 13, 70, 252, 714, 1722, 3696, 7260, 13299, 23023, 38038, 60424, 92820, 138516, 201552, 286824, 400197, 548625, 740278, 984676, 1292830, 1677390, 2152800, 2735460, 3443895, 4298931, 5323878, 6544720 (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)*(7n+6)/6.

G.f.: (1+6*x)/(1-x)^7.

MATHEMATICA

f[n_]:=7*n+1; s1=s2=s3=s4=s5=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; s3+=s2; s4+=s3; s5+=s4; AppendTo[lst, s5], {n, 0, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 25 2009 *)

PROG

(PARI) a(n) = binomial(n+5, 5)*(7*n+6)/6; \\ Michel Marcus, Jan 09 2015

CROSSREFS

Cf. A051877.

Cf. A093564 ((7, 1) Pascal, column m=6).

Sequence in context: A146381 A085461 A081860 * A235454 A296831 A031442

Adjacent sequences:  A050400 A050401 A050402 * A050404 A050405 A050406

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 22 23:18 EDT 2018. Contains 316518 sequences. (Running on oeis4.)