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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
OFFSET
0,3
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.
Sequence in context: A159959 A260211 A255008 * A058544 A112156 A285723
KEYWORD
nonn,tabf
AUTHOR
T. D. Noe, Mar 08 2013
STATUS
approved