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Search: id:A162395
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A162395 -(-1)^n * n^2. +0
1
1, -4, 9, -16, 25, -36, 49, -64, 81, -100, 121, -144, 169, -196, 225, -256, 289, -324, 361, -400, 441, -484, 529, -576, 625, -676, 729, -784, 841, -900, 961, -1024, 1089, -1156, 1225, -1296, 1369, -1444, 1521, -1600, 1681, -1764, 1849, -1936, 2025, -2116, 2209, -2304, 2401, -2500 (list; graph; listen)
OFFSET

1,2

FORMULA

Euler transform of length 2 sequence [ -4, 3].

a(n) is multiplicative with a(2^e) = -(4^e) if e>0, a(p^e) = (p^2)^e if p>2.

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

E.g.f.: exp(-x) * (x - x^2).

PROGRAM

(PARI) {a(n) = -(-1)^n * n^2}

CROSSREFS

-(-1)^n A000290(n) = a(n).

Sequence in context: A162497 A069821 A000290 this_sequence A144913 A018885 A025741

Adjacent sequences: A162392 A162393 A162394 this_sequence A162396 A162397 A162398

KEYWORD

sign,mult

AUTHOR

Michael Somos, Jul 02 2009

page 1

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Last modified March 13 16:35 EST 2010. Contains 173425 sequences.


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