A256649 29-gonal pyramidal numbers: a(n) = n*(n+1)*(9*n-8)/2.

0, 1, 30, 114, 280, 555, 966, 1540, 2304, 3285, 4510, 6006, 7800, 9919, 12390, 15240, 18496, 22185, 26334, 30970, 36120, 41811, 48070, 54924, 62400, 70525, 79326, 88830, 99064, 110055, 121830, 134416, 147840, 162129, 177310, 193410, 210456, 228475, 247494

Offset

0,3

Comments

See comments in A256645.

References

E. Deza and M. M. Deza, Figurate numbers, World Scientific Publishing (2012), page 93 (27th 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 + 26*x)/(1 - x)^4.

a(n) = A000292(n) + 26*A000292(n-1).

Mathematica

Table[n (n + 1)(9 n - 8)/2, {n, 0, 40}]
LinearRecurrence[{4, -6, 4, -1}, {0, 1, 30, 114}, 40] (* Vincenzo Librandi, Apr 08 2015 *)

Prog

(Magma) [n*(n+1)*(9*n-8)/2: n in [0..50]]; // Vincenzo Librandi, Apr 08 2015

Crossrefs

Partial sums of A255187.

Cf. similar sequences listed in A237616.

Cf. A000292.

Sequence in context: A205829 A304836 A010018 * A378510 A232778 A232775

Adjacent sequences: A256646 A256647 A256648 * A256650 A256651 A256652

Keyword

nonn,easy

Author

Luciano Ancora, Apr 07 2015

Status

approved