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A073712
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Self-convolution of A073711; also forms all odd terms of A073711.
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1
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1, 2, 3, 6, 7, 12, 16, 26, 31, 42, 59, 72, 104, 116, 184, 186, 303, 282, 497, 406, 783, 612, 1224, 840, 1856, 1232, 2784, 1656, 4136, 2376, 6008, 3138, 8735, 4362, 12345, 5754, 17693, 7756, 24432, 10170, 34471, 13302, 46771, 17688, 65144, 22296, 87008
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| It is conjectured that the odd terms of this sequence is equal to twice the convolution of A073711 with A073712 = A073713.
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FORMULA
| Let f(x) = sum_{n=0..inf} A073711(n) x^n, then f(x)^2=sum_{n=0..inf} a(n)x^n and f(x) satisfies the functional equation f(x) = f(x^2)*(1 + x*f(x^2)). Conjecture: a(2m+1)=A073713(m), for m>=0.
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EXAMPLE
| Convolution of {1,1,1,2,1,3,2,6,1,7,3,12,2,16,...}(A073711) = {1,2,3,6,7,12,16,...}, which forms all the odd terms of A073711.
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CROSSREFS
| Cf. A073711, A073713.
Sequence in context: A130404 A064689 A144120 * A157200 A167415 A018511
Adjacent sequences: A073709 A073710 A073711 * A073713 A073714 A073715
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KEYWORD
| easy,nice,nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Aug 05 2002
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