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A008738
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Floor((n^2 + 1)/5).
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3
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0, 0, 1, 2, 3, 5, 7, 10, 13, 16, 20, 24, 29, 34, 39, 45, 51, 58, 65, 72, 80, 88, 97, 106, 115, 125, 135, 146, 157, 168, 180, 192, 205, 218, 231, 245, 259, 274, 289, 304, 320, 336, 353, 370, 387, 405, 423, 442, 461, 480, 500, 520, 541, 562, 583, 605, 627, 650, 673
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Without initial zeros, Molien series for 3-dimensional group [2+,n] = 2*(n/2).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..5000
Index entries for Molien series
Index to sequences with linear recurrences with constant coefficients, signature (2,-1,0,0,1,-2,1).
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FORMULA
| G.f.: x^2*(1+x^3)/((1-x)^2*(1-x^5)).
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PROG
| (PARI) a(n)=(n^2+1)\5;
(MAGMA) [(n^2+1) div 5: n in [0..58]]; // Bruno Berselli, Oct 28 2011
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CROSSREFS
| Cf. A011858.
Sequence in context: A101433 A024180 A183137 * A022790 A194238 A053034
Adjacent sequences: A008735 A008736 A008737 * A008739 A008740 A008741
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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 Philip Mummert (s1280900(AT)cedarville.edu), May 10 2000
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