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A008748
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Expansion of (1+x^5)/((1-x)*(1-x^2)*(1-x^3)).
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2
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1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 19, 23, 27, 31, 36, 41, 46, 52, 58, 64, 71, 78, 85, 93, 101, 109, 118, 127, 136, 146, 156, 166, 177, 188, 199, 211, 223, 235, 248, 261, 274, 288, 302, 316, 331, 346, 361, 377, 393, 409, 426, 443, 460, 478, 496, 514, 533, 552, 571
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.
Index to sequences with linear recurrences with constant coefficients, signature (2,-1,1,-2,1)
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FORMULA
| 1+[ n(n+1)/6 ].
a(n)=1+A001840(n-1).
a(n)=1+a(n-1)+a(n-3)-a(n-4) if n>4; a(n)=n, n=1..4 - Michael Somos
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MAPLE
| A061347 := proc(n) op(1+(n mod 3), [-2, 1, 1]) ; end proc:
A008748 := proc(n) 1/6*n^2+1/6*n+8/9+A061347(n+2)/9 ; end proc:
seq(A008748(n), n=0..50) ; # R. J. Mathar, Mar 22 2011
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MATHEMATICA
| Table[Floor[((n*(n+1)+2)/2+3)/3], {n, 0, 5!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 26 2010]
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CROSSREFS
| Sequence in context: A025695 A025694 A022796 * A089649 A049700 A002984
Adjacent sequences: A008745 A008746 A008747 * A008749 A008750 A008751
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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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