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 A129370 a(n)=n^2-(n-1)^2*(1-(-1)^n)/8. 12
 0, 1, 4, 8, 16, 21, 36, 40, 64, 65, 100, 96, 144, 133, 196, 176, 256, 225, 324, 280, 400, 341, 484, 408, 576, 481, 676, 560, 784, 645, 900, 736, 1024, 833, 1156, 936, 1296, 1045, 1444, 1160, 1600, 1281, 1764, 1408 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Partial sums are A129371. LINKS Index entries for linear recurrences with constant coefficients, signature (0,3,0,-3,0,1). FORMULA G.f.: x(1+4x+5x^2+4x^3)/(1-x^2)^3; a(n)=((7n^2+2n-1)+(n-1)^2(-1)^n)/8; MATHEMATICA Table[n^2-(n-1)^2 (1-(-1)^n)/8, {n, 0, 50}] (* Harvey P. Dale, Oct 22 2011 *) PROG (PARI) a(n)=n^2-(n-1)^2*(1-(-1)^n)/8 \\ Charles R Greathouse IV, Sep 28 2015 CROSSREFS Cf. A016742 (bisection), A000567 (bisection). Sequence in context: A312807 A312808 A249486 * A344485 A212009 A312809 Adjacent sequences: A129367 A129368 A129369 * A129371 A129372 A129373 KEYWORD easy,nonn AUTHOR Paul Barry, Apr 11 2007 STATUS approved

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Last modified December 5 19:04 EST 2022. Contains 358588 sequences. (Running on oeis4.)