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A140155 a(1)=1, a(n)=a(n-1)+n^3 if n odd, a(n)=a(n-1)+ n^4 if n is even. 2
1, 17, 44, 300, 425, 1721, 2064, 6160, 6889, 16889, 18220, 38956, 41153, 79569, 82944, 148480, 153393, 258369, 265228, 425228, 434489, 668745, 680912, 1012688, 1028313, 1485289, 1504972, 2119628, 2144017, 2954017, 2983808, 4032384 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
G.f.: -x*(x^2+1)*(x^6-16*x^5+21*x^4-160*x^3-21*x^2-16*x-1)/((1+x)^5*(x-1)^6). [From R. J. Mathar, Feb 22 2009]
MATHEMATICA
a = {}; r = 3; s = 4; Do[k = 0; Do[k = k + (Sin[Pi m/2]^2) m^r + (Cos[Pi m/2]^2) m^s, {m, 1, n}]; AppendTo[a, k], {n, 1, 100}]; a (*Artur Jasinski*)
nxt[{n_, a_}]:={n+1, If[EvenQ[n], a+(n+1)^3, a+(n+1)^4]}; NestList[nxt, {1, 1}, 40][[;; , 2]] (* Harvey P. Dale, Oct 22 2023 *)
CROSSREFS
Sequence in context: A093191 A033703 A227721 * A221752 A032698 A120099
KEYWORD
nonn
AUTHOR
Artur Jasinski, May 12 2008
STATUS
approved

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Last modified April 21 04:54 EDT 2024. Contains 371850 sequences. (Running on oeis4.)