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

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

0,3

Links

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

Example

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}

Mathematica

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

Crossrefs

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

Cf. A222295, A222296, A222757, A222758.

Sequence in context: A159959 A260211 A255008 * A058544 A112156 A285723

Adjacent sequences: A222599 A222600 A222601 * A222603 A222604 A222605

Keyword

nonn,tabf

Author

T. D. Noe, Mar 08 2013

Status

approved