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A036406
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Ceiling(n^2/8).
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2
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0, 1, 1, 2, 2, 4, 5, 7, 8, 11, 13, 16, 18, 22, 25, 29, 32, 37, 41, 46, 50, 56, 61, 67, 72, 79, 85, 92, 98, 106, 113, 121, 128, 137, 145, 154, 162, 172, 181, 191, 200, 211, 221, 232, 242, 254, 265, 277, 288, 301, 313, 326, 338, 352, 365, 379, 392
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (2,-1,0,1,-2,1)
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FORMULA
| a(n) = (1/16)*(2n^2 + 9 - 5(-1)^n - 2(-1)^floor(n/2) + 2(-1)^floor((n-1)/2)). - Ralf Stephan, Jun 10 2005
G.f.: -x*(1-x-x^3+x^2+x^4) / ( (1+x)*(1+x^2)*(x-1)^3 ). - R. J. Mathar, Jan 22 2011
a(0)=0, a(1)=1, a(2)=1, a(3)=2, a(4)=2, a(5)=4, a(n)=2*a(n-1)-a(n-2)+ a(n-4)- 2*a(n-5)+a (n-6). [From Harvey P. Dale, June 21 2011]
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MATHEMATICA
| Ceiling[Range[0, 60]^2/8] (* or *) LinearRecurrence[{2, -1, 0, 1, -2, 1}, {0, 1, 1, 2, 2, 4}, 60] (* From Harvey P. Dale, June 21 2011 *)
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PROG
| (MAGMA) [Ceiling(n^2/8):n in [0..60]]; // Vincenzo Librandi, Oct 21 2011
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CROSSREFS
| Sequence in context: A053036 A067957 A120326 * A029007 A058678 A030739
Adjacent sequences: A036403 A036404 A036405 * A036407 A036408 A036409
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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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