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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 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 A337522 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 April 10 22:19 EDT 2021. Contains 342856 sequences. (Running on oeis4.)