id:A091935 - OEIS Search Results

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A091935

Smallest number of 1's in binary representations of primes between 2^n and 2^(n+1).

+0
5

1, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A000120(A091936(n)).` `0 never appears, 1 appears only at 1, 2's appear only for Fermat primes (A019434), 4's appear at A092100. I have found no fives <= 250. - Robert G. Wilson v`
	MATHEMATICA	`Run the second Mathematica line of A091936, then Join[{1}, Count[ IntegerDigits[ #, 2], 1] & /@ Table[ f[n], {n, 2, 105}]] (from Robert G. Wilson v Feb 19 2004)`
	CROSSREFS	`Cf. A091937, A092100.` `Sequence in context: A124474 A076982 A164886 this_sequence A086063 A145653 A026263` `Adjacent sequences: A091932 A091933 A091934 this_sequence A091936 A091937 A091938`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 14 2004`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) Feb 18 2004`

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.

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