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Search: id:A052181
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A052181 Partial sums of A050483. +0
4
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; listen)
OFFSET

0,2

REFERENCES

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

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 (zerinvarylajos(AT)yahoo.com), Jul 29 2005

MAPLE

a:=n->(sum((numbcomp(n, 8)), j=7..n))/2:seq(a(n), n=8..31); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2008]

CROSSREFS

Cf. A050483.

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

a(n)=A027819/7.

Sequence in context: A008533 A010024 A008414 this_sequence A118979 A014970 A036392

Adjacent sequences: A052178 A052179 A052180 this_sequence A052182 A052183 A052184

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jan 26 2000

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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