OFFSET
0,2
LINKS
Luciano Ancora, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: (1 + 247*x + 4293*x^2 + 15619*x^3 + 15619*x^4 + 4293*x^5 + 247*x^6 + x^7)/(1 - x)^6.
a(n) = 84*(2*n - 1)*(2*n^4 - 4*n^3 + 8*n^2 - 6*n + 3) for n>1, a(0)=1, a(1)=253.
EXAMPLE
Third differences: 1, 253, 5796, 46620, 213444, ... (this sequence)
Second differences: 1, 254, 6050, 52670, 266114, ... (A255178)
First differences: 1, 255, 6305, 58975, 325089, ... (A022524)
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The seventh powers: 1, 253, 5796, 46620, 213444, ... (A001016)
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MATHEMATICA
Join[{1, 253}, Table[84 (2 n - 1) (2 n^4 - 4 n^3 + 8 n^2 - 6 n + 3), {n, 2, 30}]]
PROG
(Magma) [1, 253] cat [84*(2*n-1)*(2*n^4-4*n^3+8*n^2-6*n+3): n in [2..30]]; // Vincenzo Librandi, Mar 18 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Mar 18 2015
EXTENSIONS
Edited by Bruno Berselli, Mar 19 2015
STATUS
approved