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A005892
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Truncated square numbers: 7*n^2 + 4*n + 1.
(Formerly M4833)
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2
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1, 12, 37, 76, 129, 196, 277, 372, 481, 604, 741, 892, 1057, 1236, 1429, 1636, 1857, 2092, 2341, 2604, 2881, 3172, 3477, 3796, 4129, 4476, 4837, 5212, 5601, 6004, 6421, 6852, 7297, 7756, 8229, 8716, 9217, 9732, 10261, 10804, 11361, 11932
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| L. Hogben, Choice and Chance by Cardpack and Chessboard. Vol. 1, Chanticleer Press, NY, 1950, p. 36.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
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LINKS
| S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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FORMULA
| a(n)=a(n-1)+14*n-3 (with a(0)=1) [From Vincenzo Librandi, Nov 18 2010]
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MAPLE
| A005892:=-(1+9*z+4*z**2)/(z-1)**3; [S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
| Table[7n^2+4n+1, {n, 0, 50}] (* From Harvey P. Dale, Mar 24 2011 *)
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CROSSREFS
| Cf. A135704.
Sequence in context: A045174 A044089 A044470 * A041276 A057457 A041278
Adjacent sequences: A005889 A005890 A005891 * A005893 A005894 A005895
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Frank Ellermann, Jan 18 2002
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