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A102377 Gould's sequence A001316 in binary. 0
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; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..44.

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).

CROSSREFS

Cf. A001316, A048883, A102376.

Sequence in context: A219797 A255744 A165831 * A286507 A286508 A287134

Adjacent sequences:  A102374 A102375 A102376 * A102378 A102379 A102380

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jan 05 2005

STATUS

approved

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Last modified February 21 15:58 EST 2018. Contains 299414 sequences. (Running on oeis4.)