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A254474 30-gonal numbers: a(n) = n*(14*n-13). 13
0, 1, 30, 87, 172, 285, 426, 595, 792, 1017, 1270, 1551, 1860, 2197, 2562, 2955, 3376, 3825, 4302, 4807, 5340, 5901, 6490, 7107, 7752, 8425, 9126, 9855, 10612, 11397, 12210, 13051, 13920, 14817, 15742, 16695, 17676, 18685, 19722, 20787, 21880 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See comments in A255184.

Also star 15-gonal number: a(n) = A051867(n) + 15*A000217(n-1).

REFERENCES

E. Deza and M. M. Deza, Figurate numbers, World Scientific Publishing (2012), page 6 (28th row of the table).

LINKS

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

Luciano Ancora, Polygonal and Pyramidal numbers, Section 1.

Index to sequences related to polygonal numbers

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

G.f.: x*(-1 - 27*x)/(-1 + x)^3.

a(n) =  A000217(n) + 27*A000217(n-1).

MATHEMATICA

Table[n (14 n - 13), {n, 40}]

PROG

(PARI) a(n)=n*(14*n-13) \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. similar sequences listed in A255184.

Sequence in context: A130862 A070756 A058903 * A103906 A124799 A126384

Adjacent sequences:  A254471 A254472 A254473 * A254475 A254476 A254477

KEYWORD

nonn,easy

AUTHOR

Luciano Ancora, Apr 04 2015

STATUS

approved

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Last modified December 12 21:04 EST 2018. Contains 318081 sequences. (Running on oeis4.)