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 A178465 Expansion of -2*x^2*(-3-2*x+x^2-x^3-2*x^4+x^5)  /  ( (1+x)^2*(x-1)^4 ). 2
 0, 0, 6, 16, 36, 66, 114, 176, 264, 370, 510, 672, 876, 1106, 1386, 1696, 2064, 2466, 2934, 3440, 4020, 4642, 5346, 6096, 6936, 7826, 8814, 9856, 11004, 12210, 13530, 14912, 16416, 17986, 19686, 21456, 23364, 25346, 27474, 29680, 32040, 34482 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA For n even, a(n) = n*(2+n^2)/2 = A061804(n/2). For n>1 and odd, a(n)=(n+1)*(n^2-n+2)/2 = 2*A212133((n+1)/2). a(n) = (2-2*(-1)^n+(3+(-1)^n)*n+2*n^3)/4 for n>1. [Colin Barker, Feb 18 2013] MATHEMATICA CoefficientList[ Series[ 2x^2 (3 + 2x - x^2 + x^3 + 2x^4 - x^5)/((1 + x)^2 (x - 1)^4), {x, 0, 42}], x] (* Robert G. Wilson v, Feb 17 2014 *) CROSSREFS Cf. A187062, A187397, A061804, A018808. Sequence in context: A199629 A098943 A321973 * A247619 A120586 A171373 Adjacent sequences:  A178462 A178463 A178464 * A178466 A178467 A178468 KEYWORD nonn AUTHOR Sean A. Irvine, Mar 23 2011 EXTENSIONS Discrepancy with A018808 resolved. David W. Wilson, Aug 05 2013 First line of formulas corrected. R. J. Mathar, Aug 05 2013 Prepended a(0)=0, Joerg Arndt, Feb 19 2014 STATUS approved

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Last modified September 26 06:16 EDT 2021. Contains 347664 sequences. (Running on oeis4.)