A100160 Structured disdyakis triacontahedral numbers (vertex structure 5).

1, 62, 299, 828, 1765, 3226, 5327, 8184, 11913, 16630, 22451, 29492, 37869, 47698, 59095, 72176, 87057, 103854, 122683, 143660, 166901, 192522, 220639, 251368, 284825, 321126, 360387, 402724, 448253, 497090, 549351, 605152

Offset

1,2

Links

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

Formula

a(n) = (1/6)*(116*n^3 - 168*n^2 + 58*n).

G.f.: x*(1+x)*(1+57*x)/(1-x)^4. [Colin Barker, Apr 16 2012]

Prog

(Magma) [(1/6)*(116*n^3-168*n^2+58*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

Crossrefs

Cf. A100158, A100159 = alternate vertices; A100145 for more on structured polyhedral numbers.

Sequence in context: A100158 A100166 A100159 * A223072 A010746 A124995

Adjacent sequences: A100157 A100158 A100159 * A100161 A100162 A100163

Keyword

easy,nonn

Author

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

Status

approved