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A084267 Partial sums of a binomial quotient. +0
1
1, 2, 4, 7, 11, 17, 24, 33, 44, 57, 72, 89, 109, 131, 156, 184, 215, 250, 288, 330, 376, 426, 480, 538, 601, 668, 740, 817, 899, 987, 1080, 1179, 1284, 1395, 1512, 1635, 1765, 1901, 2044, 2194, 2351, 2516, 2688, 2868, 3056, 3252, 3456, 3668, 3889, 4118, 4356 (list; graph; listen)
OFFSET

0,2

COMMENT

Partial sums of A011865 are a(n)=sum{k=0..n, floor(C(k+2,4)/C(k+2,2))}.

FORMULA

a(n)=sum{k=0..n, floor(C(k+4, 4)/C(k+2, 2))}

G.f.: (x^4-x^3+x^2-x+1)/[(1-x)^4(1+x^2)(1+x+x^2)(1-x^2+x^4)].

CROSSREFS

Sequence in context: A038045 A095233 A062434 this_sequence A011911 A078346 A122051

Adjacent sequences: A084264 A084265 A084266 this_sequence A084268 A084269 A084270

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 01 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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