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A244633
a(n) = 26*n^2.
6
0, 26, 104, 234, 416, 650, 936, 1274, 1664, 2106, 2600, 3146, 3744, 4394, 5096, 5850, 6656, 7514, 8424, 9386, 10400, 11466, 12584, 13754, 14976, 16250, 17576, 18954, 20384, 21866, 23400, 24986, 26624, 28314, 30056, 31850, 33696, 35594, 37544, 39546, 41600
OFFSET
0,2
COMMENTS
Sequence found by reading the line from 0, in the direction 0, 26, ..., in the square spiral whose vertices are the generalized 15-gonal numbers. - Omar E. Pol, Jul 03 2014
Norms of purely imaginary numbers in Z[sqrt(-26)]. - Alonso del Arte, Dec 25 2014
FORMULA
G.f.: 26*x*(1 + x)/(1 - x)^3.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.
a(n) = 26*A000290(n) = 13*A001105(n) = 2*A152742(n). - Omar E. Pol, Jul 03 2014
MAPLE
A244633:=n->26*n^2: seq(A244633(n), n=0..50); # Wesley Ivan Hurt, Jul 04 2014
MATHEMATICA
Table[26 n^2, {n, 0, 40}]
26 Range[0, 50]^2 (* Wesley Ivan Hurt, Jul 04 2014 *)
PROG
(Magma) [26*n^2: n in [0..40]];
(PARI) a(n)=26*n^2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. similar sequences listed in A244630.
Cf. A277082.
Sequence in context: A031434 A173089 A333055 * A042320 A042322 A042324
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jul 03 2014
EXTENSIONS
G.f. corrected by Bruno Berselli, Jul 03 2014
STATUS
approved