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1, 11, 25, 43, 65, 91, 121, 155, 193, 235, 281, 331, 385, 443, 505, 571, 641, 715, 793, 875, 961, 1051, 1145, 1243, 1345, 1451, 1561, 1675, 1793, 1915, 2041, 2171, 2305, 2443, 2585, 2731, 2881, 3035, 3193, 3355, 3521, 3691, 3865, 4043, 4225, 4411, 4601
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The defining formula can be regarded as an approximation and simplification of the expansion / propagation of native hydrophytes on the surface of stagnant waters in orthogonal directions; absence of competition / concurrence and of retrogression is assumed, mortality is taken into account. - (Translation of a comment in French sent by P. Gayet)
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LINKS
| Pierre Gayet, Table of n, a(n) for n = 1..10000
Pierre Gayet, Note et Compte rendu (gif version)
Pierre Gayet, Note et Compte Rendu (pdf version)
Pierre Gayet, 98 séquences générées ... par la formule générale indiquée
Claude Monet, Nymphéas
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FORMULA
| a(n) = a(n-1)+4*n+6 (with a(0)=1). [From Vincenzo Librandi, Nov 30 2010]
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MATHEMATICA
| lst={}; Do[a=2*n^2+8*n+1; AppendTo[lst, a], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 13 2009]
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PROG
| (MAGMA) [ 2*n^2+8*n+1: n in [0..50] ];
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CROSSREFS
| Cf. A161549, A161587, A161617, A161935, A162316.
Sequence in context: A125868 A031025 A140675 * A118648 A105270 A039337
Adjacent sequences: A161529 A161530 A161531 * A161533 A161534 A161535
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KEYWORD
| easy,nonn
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AUTHOR
| Pierre Gayet (gayet.pierre(AT)wanadoo.fr), Jun 13 2009
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EXTENSIONS
| More terms from Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 13 2009
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