A256647 27-gonal pyramidal numbers: a(n) = n*(n+1)*(25*n-22)/6.

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).

Links

Luciano Ancora, Table of n, a(n) for n = 0..1000

Luciano Ancora, Polygonal and Pyramidal numbers, Section 3.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

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

Adjacent sequences: A256644 A256645 A256646 * A256648 A256649 A256650

Keyword

nonn,easy

Author

Luciano Ancora, Apr 07 2015

Status

approved