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 A194268 8*n^2 + 7*n + 1. 5
 1, 16, 47, 94, 157, 236, 331, 442, 569, 712, 871, 1046, 1237, 1444, 1667, 1906, 2161, 2432, 2719, 3022, 3341, 3676, 4027, 4394, 4777, 5176, 5591, 6022, 6469, 6932, 7411, 7906, 8417, 8944, 9487, 10046, 10621, 11212, 11819, 12442, 13081, 13736, 14407 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence found by reading the line from 1, in the direction 1, 16,..., in the square spiral whose vertices are the triangular numbers A000217. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (3, -3, 1). FORMULA a(0)=1, a(1)=16, a(2)=47, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, Apr 06 2014 MAPLE A194268:=n->8*n^2+7*n+1: seq(A194268(n), n=0..50); # Wesley Ivan Hurt, Jul 15 2014 MATHEMATICA Table[8n^2+7n+1, {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {1, 16, 47}, 50] (* Harvey P. Dale, Apr 06 2014 *) PROG (Magma) [8*n^2 +7*n + 1: n in [0..50]]; // Vincenzo Librandi, Sep 07 2011 (PARI) a(n)=8*n^2+7*n+1 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A014634, A069129, A051870, A139098, A194431. Sequence in context: A253350 A204616 A204800 * A292171 A204609 A233063 Adjacent sequences: A194265 A194266 A194267 * A194269 A194270 A194271 KEYWORD nonn,easy AUTHOR Omar E. Pol, Sep 05 2011 STATUS approved

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Last modified April 1 18:40 EDT 2023. Contains 361695 sequences. (Running on oeis4.)