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 A004256 n^2*(n+1)*(n+2)^2/6. 0
 0, 3, 32, 150, 480, 1225, 2688, 5292, 9600, 16335, 26400, 40898, 61152, 88725, 125440, 173400, 235008, 312987, 410400, 530670, 677600, 855393, 1068672, 1322500, 1622400, 1974375, 2384928, 2861082 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1). FORMULA G.f.: (3*x+14*x^2+3*x^3)/(x-1)^6. - Harvey P. Dale, May 26 2015 a(0)=0, a(1)=3, a(2)=32, a(3)=150, a(4)=480, a(5)=1225, a(n)=6*a(n-1)- 15*a(n-2)+ 20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - Harvey P. Dale, May 26 2015 MATHEMATICA Table[(n^2 (n+1)(n+2)^2)/6, {n, 0, 40}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 3, 32, 150, 480, 1225}, 40] (* Harvey P. Dale, May 26 2015 *) CROSSREFS Equals (n+2) * A002417. Sequence in context: A213845 A221464 A119940 * A183457 A322234 A264574 Adjacent sequences:  A004253 A004254 A004255 * A004257 A004258 A004259 KEYWORD nonn AUTHOR STATUS approved

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Last modified December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)