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A038167
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G.f.: x*(1+3*x+x^2)/((1-x^2)^2*(1-x^5)).
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1
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0, 1, 3, 3, 6, 5, 10, 10, 15, 15, 20, 21, 28, 28, 36, 35, 45, 45, 55, 55, 65, 66, 78, 78, 91, 90, 105, 105, 120, 120, 135, 136, 153, 153, 171, 170, 190, 190, 210, 210, 230, 231, 253, 253, 276, 275, 300, 300, 325, 325, 350, 351, 378, 378, 406, 405
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OFFSET
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0,3
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REFERENCES
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S. J. Cyvin et al., Polygonal systems including the corannulene and coronene homologs: novel applications of Pólya's theorem, Z. Naturforsch., 52a (1997), 867-873.
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LINKS
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Table of n, a(n) for n=0..55.
Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n)=5n/8+39/80+n^2/8+(-1)^n*(n/8+5/16)-(4*A010891(n)+3*A010891(n-1)+2*A010891(n-2)+A010891(n-3))/5. [From R. J. Mathar, Jun 17 2009]
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MAPLE
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A010891 := proc(n) op((n mod 5)+1, [1, -1, 0, 0, 0]) ; end: A038167 := proc(n) 5*n/8+39/80+n^2/8+(-1)^n*(n/8+5/16) -(4*A010891(n)+3*A010891(n-1)+2*A010891(n-2)+A010891(n-3))/5 ; end: seq(A038167(n), n=0..30) ; [From R. J. Mathar, Jun 17 2009]
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CROSSREFS
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Sequence in context: A080512 A225441 A102245 * A131077 A175520 A072464
Adjacent sequences: A038164 A038165 A038166 * A038168 A038169 A038170
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KEYWORD
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nonn,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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