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A152551 a(n) = (2*n+1)^floor((n-1)/2). 5
1, 1, 1, 7, 9, 121, 169, 3375, 4913, 130321, 194481, 6436343, 9765625, 387420489, 594823321, 27512614111, 42618442977, 2251875390625, 3512479453921, 208728361158759, 327381934393961, 21611482313284249, 34050628916015625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Compare to row sums of triangle A152550: (2n+1)^(n-1).

Triangle A152550 lists coefficients in a q-analog of the function [LambertW(-2x)/(-2x)]^(1/2).

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..642

FORMULA

a(n) = Sum_{k=0..n(n-1)/2} A152550(n,k)*(-1)^k.

MATHEMATICA

Table[(2n+1)^Floor[(n-1)/2], {n, 0, 30}] (* Harvey P. Dale, Nov 21 2011 *)

PROG

(PARI) a(n)=(2*n+1)^((n-1)\2)

(MAGMA) [(2*n+1)^Floor((n-1)/2): n in [0..50]]; // G. C. Greubel, Nov 16 2017

CROSSREFS

Cf. A152550, A152552 (q=2), A152553 (q=3).

Sequence in context: A137058 A116237 A123746 * A012252 A262538 A306184

Adjacent sequences:  A152548 A152549 A152550 * A152552 A152553 A152554

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 07 2008

STATUS

approved

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Last modified September 25 10:18 EDT 2020. Contains 337337 sequences. (Running on oeis4.)