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A256647
27-gonal pyramidal numbers: a(n) = n*(n+1)*(25*n-22)/6.
2
0, 1, 28, 106, 260, 515, 896, 1428, 2136, 3045, 4180, 5566, 7228, 9191, 11480, 14120, 17136, 20553, 24396, 28690, 33460, 38731, 44528, 50876, 57800, 65325, 73476, 82278, 91756, 101935, 112840, 124496, 136928, 150161, 164220, 179130, 194916, 211603, 229216
OFFSET
0,3
COMMENTS
See comments in A256645.
REFERENCES
E. Deza and M. M. Deza, Figurate numbers, World Scientific Publishing (2012), page 93 (25th row of the table).
FORMULA
G.f.: x*(1 + 24*x)/(1 - x)^4.
a(n) = A000292(n) + 24*A000292(n-1).
MATHEMATICA
Table[n (n + 1) (25 n - 22)/6, {n, 0, 40}]
LinearRecurrence[{4, -6, 4, -1}, {0, 1, 28, 106}, 40] (* Vincenzo Librandi, Apr 08 2015 *)
PROG
(Magma) [n*(n+1)*(25*n-22)/6: n in [0..50]]; // Vincenzo Librandi, Apr 08 2015
CROSSREFS
Partial sums of A255186.
Cf. similar sequences listed in A237616.
Cf. A000292.
Sequence in context: A223443 A201469 A010016 * A223492 A219857 A068196
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Apr 07 2015
STATUS
approved