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A100167 Structured pentagonal icositetrahedral numbers (vertex structure 13). 2
1, 38, 171, 460, 965, 1746, 2863, 4376, 6345, 8830, 11891, 15588, 19981, 25130, 31095, 37936, 45713, 54486, 64315, 75260, 87381, 100738, 115391, 131400, 148825, 167726, 188163, 210196, 233885, 259290, 286471, 315488 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

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

FORMULA

a(n) = (1/6)*(60*n^3 - 72*n^2 + 18*n).

G.f.: x*(1 + 34*x + 25*x^2)/(1-x)^4. - Colin Barker, Feb 14 2012

MATHEMATICA

Table[(60n^3-72n^2+18n)/6, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 38, 171, 460}, 40] (* Harvey P. Dale, Aug 21 2016 *)

PROG

(MAGMA) [(1/6)*(60*n^3-72*n^2+18*n): n in [1..40]]; // Vincenzo Librandi, Jul 26 2011

CROSSREFS

Cf. A100168 = alternate vertex; A100145 for more on structured numbers.

Sequence in context: A135176 A318625 A281208 * A100168 A137022 A160064

Adjacent sequences:  A100164 A100165 A100166 * A100168 A100169 A100170

KEYWORD

easy,nonn

AUTHOR

James A. Record (james.record(AT)gmail.com), Nov 07 2004

STATUS

approved

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Last modified June 22 21:29 EDT 2021. Contains 345393 sequences. (Running on oeis4.)