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A096269 a(n) = number of distinct palindromes of length n that occur in A096268. +0
2
2, 1, 3, 0, 4, 0, 3, 0, 4, 0, 4, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3 (list; graph; listen)
OFFSET

1,1

REFERENCES

D. Damanik, Local symmetries in the period-doubling sequence, Discrete Appl. Math., 100 (2000), 115-121.

LINKS

J.-P. Allouche, M. Baake, J. Cassaigns and D. Damanik, Palindrome complexity

FORMULA

For even n >= 4, a(n) = 0; for odd n >= 5, a(n) = a(2n-1) = a(2n+1).

For odd n >= 5, let x be the power of 2 closest to n; if n > x then a(n) = 4 and if n < x then a(n) = 3. - David Wasserman (dwasserm(AT)earthlink.net), Nov 01 2007

CROSSREFS

Cf. A096268.

Sequence in context: A066029 A141198 A092093 this_sequence A073312 A166514 A160588

Adjacent sequences: A096266 A096267 A096268 this_sequence A096270 A096271 A096272

KEYWORD

nonn,easy,base

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 22 2004

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Nov 01 2007

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.


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