(Translated by https://www.hiragana.jp/)
A022269 - OEIS
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A022269
a(n) = n*(11*n+1)/2.
12
0, 6, 23, 51, 90, 140, 201, 273, 356, 450, 555, 671, 798, 936, 1085, 1245, 1416, 1598, 1791, 1995, 2210, 2436, 2673, 2921, 3180, 3450, 3731, 4023, 4326, 4640, 4965, 5301, 5648, 6006, 6375, 6755, 7146, 7548, 7961, 8385, 8820, 9266, 9723, 10191, 10670, 11160
OFFSET
0,2
COMMENTS
Essentially identical to A026817. - R. J. Mathar, May 28 2008
FORMULA
a(n) = A110449(n, 5) for n>4.
a(n) = 11*n + a(n-1) - 5 with n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
G.f.: x*(6 + 5*x)/(1 - x)^3. - Philippe Deléham, Mar 27 2013
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) with n>2, a(0)=0, a(1)=6, a(2)=23. - Philippe Deléham, Mar 27 2013
a(n) = A218530(11*n+5).
a(n) = A000217(6*n) - A000217(5*n). - Bruno Berselli, Oct 13 2016
E.g.f.: (x/2)*(11*x + 12)*exp(x). - G. C. Greubel, Aug 24 2017
MATHEMATICA
Table[n*(11*n + 1)/2, {n, 0, 50}] (* G. C. Greubel, Aug 24 2017 *)
PROG
(PARI) a(n)=n*(11*n+1)/2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. A110449.
Cf. similar sequences listed in A022289.
Sequence in context: A304392 A235332 A026817 * A212570 A272840 A272941
KEYWORD
nonn,easy
STATUS
approved