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 A129839 a(n) = Stirling_2(n,3)^2. 1
 0, 0, 0, 1, 36, 625, 8100, 90601, 933156, 9150625, 87048900, 812307001, 7486748676, 68447640625, 622473660900, 5641104760201, 51003678922596, 460438253730625, 4152386009780100, 37422167780506201, 337103845136750916, 3035761307578140625, 27332814735512302500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS H. S. Wilf, A lot of toast, with a side order of roast, manuscript, Jan 04 2002. Index entries for linear recurrences with constant coefficients, signature (25,-239,1115,-2664,3060,-1296). FORMULA G.f.: x^3*(1+11*x-36*x^2-36*x^3)/((1-x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-6*x)*(1-9*x)). a(n) = (3^n - 3*2^n + 3)^2/36 for n>0. - Charles R Greathouse IV, Jan 03 2013 MATHEMATICA StirlingS2[Range[0, 30], 3]^2 (* Harvey P. Dale, Jan 03 2013 *) PROG (Sage)[stirling_number2(n, 3)^2for n in range(0, 23)] # Zerinvary Lajos, Mar 14 2009 (PARI) a(n)=(3^n-3<

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Last modified January 19 06:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)