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A033584 a(n) = 11*n^2. 10
0, 11, 44, 99, 176, 275, 396, 539, 704, 891, 1100, 1331, 1584, 1859, 2156, 2475, 2816, 3179, 3564, 3971, 4400, 4851, 5324, 5819, 6336, 6875, 7436, 8019, 8624, 9251, 9900, 10571, 11264, 11979, 12716 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Number of edges of the complete tripartite graph of order 7n, K_n,n,5n - Roberto E. Martinez II, Jan 07 2002
Number of edges of the complete tripartite graph of order 6n, K_n,2n,3n - Roberto E. Martinez II, Jan 07 2002
11 times the squares. - Omar E. Pol, Dec 13 2008
LINKS
FORMULA
a(n) = A000290(n)*11. - Omar E. Pol, Dec 13 2008
a(n) = 22*n+a(n-1)-11 (with a(0)=0) - Vincenzo Librandi, Aug 05 2010
From Amiram Eldar, Feb 03 2021: (Start)
Sum_{n>=1} 1/a(n) = Pi^2/66.
Sum_{n>=1} (-1)^(n+1)/a(n) = Pi^2/132.
Product_{n>=1} (1 + 1/a(n)) = sqrt(11)*sinh(Pi/sqrt(11))/Pi.
Product_{n>=1} (1 - 1/a(n)) = sqrt(11)*sin(Pi/sqrt(11))/Pi. (End)
EXAMPLE
a(1)=22*1+0-11=11; a(2)=22*2+11-11=44; a(3)=22*3+44-11=99 - Vincenzo Librandi, Aug 05 2010
MATHEMATICA
Table[11*n^2, {n, 0, 35}] (* Amiram Eldar, Feb 03 2021 *)
PROG
(PARI) a(n)=11*n^2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. A000290.
Sequence in context: A022703 A061976 A070930 * A248126 A253445 A172526
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)