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A222602 Irregular triangle of conjectured Fibonacci numbers with exactly n 0-bits in their binary representation. 6
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 19 17:51 EDT 2021. Contains 347564 sequences. (Running on oeis4.)