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A196836 (1^n + 2^n +3^n + 4^n)/2. 2
2, 5, 15, 50, 177, 650, 2445, 9350, 36177, 141170, 554325, 2186750, 8656377, 34355690, 136617405, 544061750, 2169039777, 8654570210, 34553579685, 138020346350, 551499730377, 2204254480730, 8811785649165, 35231447872550, 140878711512177, 563373614503250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

2*a(n) = A001551(n), n>=0.

LINKS

Table of n, a(n) for n=0..25.

FORMULA

a(n) = (1^n + 2^n + 3^n + 4^n)/2, n>=0.

E.g.f.: (1-exp(4*x))/(2*(exp(-x)-1)) = sum(exp(j*x),j=1..4)/2.

O.g.f.: (2-5*x)*(1-5*x+5*x^2)/(product(1-j*x,j=1..4) (via Laplace transformation of the o.g.f.).

MATHEMATICA

Table[Total[Range[4]^n]/2, {n, 0, 40}] (* T. D. Noe, Oct 10 2011 *)

CROSSREFS

Cf. A001551/2.

Sequence in context: A024718 A149951 A157135 * A279553 A007853 A149952

Adjacent sequences:  A196833 A196834 A196835 * A196837 A196838 A196839

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 10 2011

STATUS

approved

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Last modified March 20 09:48 EDT 2019. Contains 321345 sequences. (Running on oeis4.)