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A234005 Number of binary words of length n avoiding the subword given by the binary expansion of n. 3
1, 1, 3, 5, 12, 21, 33, 81, 177, 338, 667, 1178, 2031, 4105, 6872, 20569, 42744, 84457, 167863, 315633, 590081, 1325032, 2366125, 4408350, 8146016, 16474904, 30266484, 67320433, 112454976, 230099960, 417825921, 1333610936, 2714234540, 5411487988, 10800172911 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

a(0) = 1: the empty word.

a(1) = 1: 0.

a(2) = 3: 00, 01, 11.

a(3) = 5: 000, 001, 010, 100, 101.

a(4) = 12: 0000, 0001, 0010, 0011, 0101, 0110, 0111, 1010, 1011, 1101, 1110, 1111.

CROSSREFS

Main diagonal of A209972.

Column k=0 of A233940.

Sequence in context: A309702 A358369 A143360 * A263346 A034763 A183921

Adjacent sequences: A234002 A234003 A234004 * A234006 A234007 A234008

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 18 2013

STATUS

approved

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Last modified November 30 10:04 EST 2022. Contains 358438 sequences. (Running on oeis4.)