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A100152 Structured truncated cubic numbers. 3
1, 24, 100, 260, 535, 956, 1554, 2360, 3405, 4720, 6336, 8284, 10595, 13300, 16430, 20016, 24089, 28680, 33820, 39540, 45871, 52844, 60490, 68840, 77925, 87776, 98424, 109900, 122235, 135460, 149606, 164704 (list; graph; refs; listen; history; text; internal format)
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)*n*(31*n^2-27*n+2).

G.f.: x*(1+20*x+10*x^2)/(1-x)^4. [Colin Barker, Jan 19 2012]

a(1)=1, a(2)=24, a(3)=100, a(4)=260, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - Harvey P. Dale, Jan 11 2016

MATHEMATICA

Table[n/6 (31n^2-27n+2), {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 24, 100, 260}, 40] (* Harvey P. Dale, Jan 11 2016 *)

PROG

(MAGMA) [(1/6)*(31*n^3-27*n^2+2*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

CROSSREFS

Cf. A100151, A100153 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers. Similar to truncated cubic numbers A005912.

Sequence in context: A042124 A042126 A157514 * A233405 A048529 A213842

Adjacent sequences:  A100149 A100150 A100151 * A100153 A100154 A100155

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified June 28 03:08 EDT 2017. Contains 288813 sequences.