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A100174 Structured tetrakis hexahedral numbers (vertex structure 5). 3
1, 14, 59, 156, 325, 586, 959, 1464, 2121, 2950, 3971, 5204, 6669, 8386, 10375, 12656, 15249, 18174, 21451, 25100, 29141, 33594, 38479, 43816, 49625, 55926, 62739, 70084, 77981, 86450, 95511, 105184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

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

FORMULA

a(n) = (1/6)*(20*n^3 - 24*n^2 + 10*n).

G.f.: x*(1+x)*(1+9*x)/(1-x)^4. [Colin Barker, May 29 2012]

PROG

(MAGMA) [(1/6)*(20*n^3-24*n^2+10*n): n in [1..50] ]; // Vincenzo Librandi, Aug 02 2011

CROSSREFS

Cf. A005915 = alternate vertex; cf. A100145 for more on structured numbers.

Sequence in context: A084195 A033856 A143861 * A120371 A062022 A277986

Adjacent sequences:  A100171 A100172 A100173 * A100175 A100176 A100177

KEYWORD

easy,nonn

AUTHOR

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

EXTENSIONS

Formula corrected by Helena Verrill (verrill(AT)math.lsu.edu), Mar 23 2007

STATUS

approved

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Last modified October 15 04:33 EDT 2019. Contains 328026 sequences. (Running on oeis4.)