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A080260 a(n)=1+(1/12)(n*(n-1)*(n+3)*(4-n)). +0
1
1, 3, 6, 7, 1, -19, -62, -139, -263, -449, -714, -1077, -1559, -2183, -2974, -3959, -5167, -6629, -8378, -10449, -12879, -15707, -18974, -22723, -26999, -31849, -37322, -43469, -50343, -57999, -66494, -75887, -86239, -97613, -110074, -123689, -138527, -154659, -172158, -191099, -211559 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) is the determinant of the n X n matrix M with m(i,i)=2i+1, m(i,j)=i+j.

FORMULA

G.f.: (1 - 2x + x^2 - 3x^3 + x^4)/(1 - x)^5 a(n)=A002378(n)-A002415(n)+1

CROSSREFS

Sequence in context: A081814 A133340 A133329 this_sequence A065269 A137427 A055102

Adjacent sequences: A080257 A080258 A080259 this_sequence A080261 A080262 A080263

KEYWORD

easy,sign

AUTHOR

Mario Catalani (mario.catalani(AT)unito.it), Feb 11 2003

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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