

A100150


Structured snub cubic numbers.


3



1, 24, 107, 288, 605, 1096, 1799, 2752, 3993, 5560, 7491, 9824, 12597, 15848, 19615, 23936, 28849, 34392, 40603, 47520, 55181, 63624, 72887, 83008, 94025, 105976, 118899, 132832, 147813, 163880, 181071, 199424
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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)*(38*n^3  48*n^2 + 16*n).
G.f.: x*(1 + 20*x + 17*x^2)/(1x)^4.  Colin Barker, Jan 19 2012


MATHEMATICA

LinearRecurrence[{4, 6, 4, 1}, {1, 24, 107, 288}, 40] (* Harvey P. Dale, Sep 17 2020 *)


PROG

(PARI) a(n)=n*(38*n^248*n+16)/6 \\ Charles R Greathouse IV, Jul 18 2011
(Magma) [(1/6)*(38*n^348*n^2+16*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011


CROSSREFS

Cf. A100149, A100151 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A213874 A100149 A013980 * A305950 A060334 A271915
Adjacent sequences: A100147 A100148 A100149 * A100151 A100152 A100153


KEYWORD

nonn,easy


AUTHOR

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


EXTENSIONS

Deleted extra +16 in formula, corrected by Craig Ferguson, Jul 18 2011


STATUS

approved



