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A102377
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Gould's sequence A001316 in binary.
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0
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1, 10, 10, 100, 10, 100, 100, 1000, 10, 100, 100, 1000, 100, 1000, 1000, 10000, 10, 100, 100, 1000, 100, 1000, 1000, 10000, 100, 1000, 1000, 10000, 1000, 10000, 10000, 100000, 10, 100, 100, 1000, 100, 1000, 1000, 10000, 100, 1000, 1000, 10000, 1000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: product{k>=0, 1 + 10x^(2^k)}; a(n)=10^A000120(n); a(n)=product{k=0..log_2(n), 10^b(n, k)}, b(n, k)=coefficient of 2^k in binary expansion of n; a(n)=sum{k=0..n, (C(n, k) mod 2)*9^A000120(n-k)}. (Formulas due to Paul D. Hanna).
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CROSSREFS
| Cf. A001316, A048883, A102376.
Sequence in context: A056483 A056473 A165831 * A038312 A010100 A165428
Adjacent sequences: A102374 A102375 A102376 * A102378 A102379 A102380
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 05 2005
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