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A100159 Structured disdyakis triacontahedral numbers (vertex structure 7). 4
1, 62, 297, 820, 1745, 3186, 5257, 8072, 11745, 16390, 22121, 29052, 37297, 46970, 58185, 71056, 85697, 102222, 120745, 141380, 164241, 189442, 217097, 247320, 280225, 315926, 354537, 396172, 440945, 488970, 540361, 595232 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also structured deltoidal hexacontahedral numbers (vertex structure 7) (cf. A100158, A100166 = alternate vertices).

LINKS

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

FORMULA

a(n) = (1/6)*(114*n^3 - 162*n^2 + 54*n) = n*(19*n^2 - 27*n + 9).

G.f.: x*(1 + 58*x + 55*x^2)/(1-x)^4. [Colin Barker, Apr 16 2012]

PROG

(MAGMA) [(1/6)*(114*n^3-162*n^2+54*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

CROSSREFS

Cf. A100158, A100160 = alternate vertices; A100145 for more on structured polyhedral numbers.

Sequence in context: A045220 A100158 A100166 * A100160 A223072 A010746

Adjacent sequences:  A100156 A100157 A100158 * A100160 A100161 A100162

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified January 21 07:24 EST 2021. Contains 340335 sequences. (Running on oeis4.)