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Search: id:A142705
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| 0, 3, 2, 15, 6, 35, 12, 63, 20, 99, 30, 143, 42, 195, 56, 255, 72, 323, 90, 399, 110, 483, 132, 575, 156, 675, 182, 783, 210, 899, 240, 1023, 272, 1155, 306, 1295, 342, 1443, 380, 1599, 420, 1763, 462, 1935, 506, 2115, 552, 2303, 600, 2499, 650, 2703, 702
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Read modulo 10 (the last digits), a sequence with period length 10 results: 0, 3, 2, 5, 6, 5, 2, 3, 0, 9. Read modulo 9, a sequence with period length 18 results.
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FORMULA
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a(n) = A061037(2n). a(n)= A070260(n-1), n>1.
a(n) = 3a(n-2)-3a(n-4)+a(n-6).
a(2^(n-1)) = a(1+A000225(n-1)) = 4^(n-1)-1 = A024036(n-1).
a(n)=-(3/4)*(-1)^n*n-(3/8)*(-1)^n*n^2+(5/8)*n^2+(5/4)*n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Sep 29 2008]
G.f.: x^2*(3+2x+6x^2-x^4)/(1-x^2)^3. - R. J. Mathar, Oct 24 2008
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CROSSREFS
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Cf. A078371 (second bisection of A061037), A142888 (first differences).
Sequence in context: A068310 A033314 A070260 this_sequence A072346 A103236 A141235
Adjacent sequences: A142702 A142703 A142704 this_sequence A142706 A142707 A142708
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Sep 24 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 24 2008
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