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A168124 a(n) = n^2*(n^6+1)/2. 1
0, 1, 130, 3285, 32776, 195325, 839826, 2882425, 8388640, 21523401, 50000050, 107179501, 214990920, 407865445, 737894626, 1281445425, 2147483776, 3487878865, 5509980450, 8491781701, 12800000200, 18911429901, 27437937010, 39155492905, 55037657376 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
O.g.f.: x*(1 + x)*(1 + 120*x + 2031*x^2 + 5776*x^3 + 2031*x^4 + 120*x^5 + x^6)/(1 - x)^9. - Bruno Berselli, Jul 14 2016
E.g.f.: x*(2 + 128*x + 966*x^2 + 1701*x^3 + 1050*x^4 + 266*x^5 + 28*x^6 + x^7)*exp(x)/2. - Bruno Berselli, Jul 14 2016
a(n) = 9*a(n-1)-36*a(n-2)+84*a(n-3)-126*a(n-4)+126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - Wesley Ivan Hurt, Jun 09 2023
MATHEMATICA
Table[n^2*(n^6 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 13 2016 *)
PROG
(Magma) [n^2*(n^6+1)/2: n in [0..25]]; // Vincenzo Librandi, Jul 14 2016
CROSSREFS
Subsequence of A027441 and A057590.
Sequence in context: A084641 A271758 A228997 * A224169 A223860 A223983
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved

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Last modified June 15 02:34 EDT 2024. Contains 373402 sequences. (Running on oeis4.)