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A100183 Structured hexagonal anti-prism numbers. 1
1, 12, 46, 116, 235, 416, 672, 1016, 1461, 2020, 2706, 3532, 4511, 5656, 6980, 8496, 10217, 12156, 14326, 16740, 19411, 22352, 25576, 29096, 32925, 37076, 41562, 46396, 51591, 57160, 63116, 69472 (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)*(13*n^3-9*n^2+2*n) [Corrected by Luca Colucci, Mar 01 2011]

G.f.: x*(1+8*x+4*x^2)/(1-x)^4. [Colin Barker, Jun 08 2012]

PROG

(MAGMA) [(1/6)*(13*n^3-9*n^2+2*n): n in [1..40]]; // Vincenzo Librandi, Aug 18 2011

CROSSREFS

Cf. A100185 - structured anti-prisms; A100145 for more on structured numbers.

Sequence in context: A251720 A199211 A249923 * A050490 A169881 A200669

Adjacent sequences:  A100180 A100181 A100182 * A100184 A100185 A100186

KEYWORD

easy,nonn

AUTHOR

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

STATUS

approved

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Last modified May 28 20:12 EDT 2017. Contains 287241 sequences.