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A050406 Partial sums of A051880. 2
1, 16, 91, 336, 966, 2352, 5082, 10032, 18447, 32032, 53053, 84448, 129948, 194208, 282948, 403104, 562989, 772464, 1043119, 1388464, 1824130, 2368080, 3040830, 3865680, 4868955, 6080256, 7532721, 9263296 (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)*(5n+3)/3.

G.f.: (1+9*x)/(1-x)^7.

MATHEMATICA

Nest[Accumulate[#]&, Table[n(n+1)(10n-7)/6, {n, 0, 50}], 3] (* Harvey P. Dale, Nov 13 2013 *)

CROSSREFS

Cf. A051880.

Cf. A093645 ((10, 1) Pascal, column m=6).

Sequence in context: A055856 A195591 A240292 * A047674 A153029 A027938

Adjacent sequences:  A050403 A050404 A050405 * A050407 A050408 A050409

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 22 08:58 EST 2018. Contains 298042 sequences.