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A029579
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An obvious mixture of two sequences.
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3
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1, 1, 2, 3, 3, 5, 4, 7, 5, 9, 6, 11, 7, 13, 8, 15, 9, 17, 10, 19, 11, 21, 12, 23, 13, 25, 14, 27, 15, 29, 16, 31, 17, 33, 18, 35, 19, 37, 20, 39, 21, 41, 22, 43, 23, 45, 24, 47, 25, 49, 26, 51, 27, 53, 28, 55, 29, 57, 30, 59, 31, 61, 32, 63, 33, 65, 34, 67, 35, 69, 36, 71, 37
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: (1+x+x^3)/(1-x^2)^2, even: a(2*n) = n+1, odd: a(2*n-1) = 2*n-1.
a(n)=(3n+2)/4+(2-n)(-1)^n/4; a(n)=2a(n-2)-a(n-4). Binomial transform is A098156. - Paul Barry (pbarry(AT)wit.ie), Aug 29 2004
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), May 08 2010: (Start)
Let M = an infinite lower triangular matrix with (1, 1, 0, 1, 0, 0, 0,...)
in every column; for columns >0, shifted down twice from the previous column.
Then A029579 = M * [1, 2, 3, 0, 0, 0,...]. (End)
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CROSSREFS
| Sequence in context: A064916 A062854 A057859 * A106647 A130157 A158745
Adjacent sequences: A029576 A029577 A029578 * A029580 A029581 A029582
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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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