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A052181 Partial sums of A050483. 3
1, 12, 72, 300, 990, 2772, 6864, 15444, 32175, 62920, 116688, 206856, 352716, 581400, 930240, 1449624, 2206413, 3287988, 4807000, 6906900, 9768330, 13616460, 18729360, 25447500 (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..23.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

a(n) = (n+2)*C(n+7, 7)/2.

G.f.: (1+3*x)/(1-x)^9.

C(n+2, 2)*C(n+7, 6)/7. - Zerinvary Lajos, Jul 29 2005

MAPLE

a:=n->(sum((numbcomp(n, 8)), j=7..n))/2:seq(a(n), n=8..31); # Zerinvary Lajos, Aug 26 2008

CROSSREFS

Cf. A050483.

Cf. A093561 ((4, 1) Pascal, column m=8).

a(n)=A027819/7.

Sequence in context: A008533 A010024 A008414 * A118979 A014970 A236967

Adjacent sequences:  A052178 A052179 A052180 * A052182 A052183 A052184

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jan 26 2000

STATUS

approved

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Last modified October 16 05:43 EDT 2019. Contains 328044 sequences. (Running on oeis4.)