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A153783 3 times 11-gonal (or hendecagonal) numbers: 3*n*(9*n-7)/2. 12
0, 3, 33, 90, 174, 285, 423, 588, 780, 999, 1245, 1518, 1818, 2145, 2499, 2880, 3288, 3723, 4185, 4674, 5190, 5733, 6303, 6900, 7524, 8175, 8853, 9558, 10290, 11049, 11835, 12648, 13488, 14355, 15249, 16170, 17118, 18093, 19095 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = (27*n^2 - 21*n)/2 = A051682(n)*3.
a(n) = 27*n + a(n-1) - 24, with n>0, a(0)=0. - Vincenzo Librandi, Aug 03 2010
G.f.: 3*x*(1 + 8*x)/(1-x)^3. - Bruno Berselli, Jan 21 2011
From G. C. Greubel, Aug 28 2016: (Start)
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3).
E.g.f.: (3/2)*x*(2 + 9*x)*exp(x). (End)
MATHEMATICA
s=0; lst={s}; Do[s+=n; AppendTo[lst, s], {n, 3, 6!, 27}]; lst (* Vladimir Joseph Stephan Orlovsky, Apr 02 2009 *)
Table[3*n*(9*n-7)/2, {n, 0, 25}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 3, 33}, 25] (* G. C. Greubel, Aug 28 2016 *)
PROG
(PARI) a(n)=3*n*(9*n-7)/2 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
Cf. numbers of the form n*(n*k-k+6))/2, this sequence is the case k=27: see Comments lines of A226492.
Sequence in context: A139222 A358695 A123049 * A048911 A239345 A089015
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Jan 02 2009
STATUS
approved

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Last modified July 23 14:40 EDT 2024. Contains 374549 sequences. (Running on oeis4.)