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A001580 2^n+n^2. +0
11
1, 3, 8, 17, 32, 57, 100, 177, 320, 593, 1124, 2169, 4240, 8361, 16580, 32993, 65792, 131361, 262468, 524649, 1048976, 2097593, 4194788, 8389137, 16777792, 33555057, 67109540, 134218457, 268436240 (list; graph; listen)
OFFSET

0,2

REFERENCES

G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255.

P. R. Halmos, Problems for Mathematicians Young and Old. Math. Assoc. America, 1991, p. 179.

FORMULA

G.f.: -(2*x-2*x^2+3*x^3-1)/(-1+x)^3/(-1+2*x). a(n) = 2*A000217(n+1)+A000079(n) -3*A000027(n+1)+1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 16 2007

MAPLE

seq(seq(k^n+n^k, k=2..2), n=0..28); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2007

CROSSREFS

Sequence in context: A105163 A011850 A141422 this_sequence A002625 A027181 A130750

Adjacent sequences: A001577 A001578 A001579 this_sequence A001581 A001582 A001583

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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