A214853 -id:A214853 - cp's OEIS frontend

A222601 Conjectured number of Fibonacci numbers with exactly n 0-bits in their binary representation.

3, 5, 2, 4, 3, 1, 2, 3, 5, 1, 3, 5, 3, 3, 2, 1, 6, 1, 2, 3, 3, 2, 0, 3, 5, 4, 4, 3, 4, 2, 1, 2, 6, 1, 2, 2, 5, 4, 3, 5, 2, 2, 2, 1, 2, 2, 2, 5, 6, 3, 2, 2, 3, 1, 5, 1, 1, 0, 8, 4, 3, 3, 3, 3, 5, 4, 4, 2, 2, 2, 2, 3, 2, 6, 3, 0, 0, 2, 5, 5, 1, 6, 5, 0, 3, 5, 1

Offset: 0

T. D. Noe, Mar 08 2013

nonn

T. D. Noe, Table of n, a(n) for n = 0..1000

Cf. A004685 (Fibonacci numbers in binary), A214853 (one 0-bit), A222602.

Cf. A222295, A222296.

f = Fibonacci[Range[0,100]]; Table[Length[Select[f, Count[IntegerDigits[#, 2], 0] == n &]], {n, 0, 20}]

A222602 Irregular triangle of conjectured Fibonacci numbers with exactly n 0-bits in their binary representation.

Original entry on oeis.org

1, 1, 3, 0, 2, 5, 13, 55, 21, 987, 8, 89, 233, 377, 34, 1597, 28657, 6765, 144, 610, 17711, 196418, 514229, 2584, 4181, 10946, 121393, 317811, 3524578, 46368, 1346269, 1836311903, 75025, 5702887, 24157817, 102334155, 165580141, 832040, 14930352, 701408733

Offset: 0

T. D. Noe, Mar 08 2013

			The irregular triangle begins
{1, 1, 3},
{0, 2, 5, 13, 55},
{21, 987},
{8, 89, 233, 377},
{34, 1597, 28657},
{6765},
{144, 610},
{17711, 196418, 514229},
{2584, 4181, 10946, 121393, 317811},
{3524578}, {46368, 1346269, 1836311903},
{75025, 5702887, 24157817, 102334155, 165580141},
{832040, 14930352, 701408733}

T. D. Noe, Rows n = 0..500 of irregular triangle, flattened

Cf. A004685 (Fibonacci numbers in binary), A214853 (one 0-bit), A222601.

Cf. A222295, A222296, A222757, A222758.

f = Fibonacci[Range[0,1000]]; Table[Select[f, Count[IntegerDigits[#, 2], 0] == n &], {n, 0, 20}]

cp's OEIS Frontend

A222601 Conjectured number of Fibonacci numbers with exactly n 0-bits in their binary representation.

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