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Search: id:A093356
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A093356 Number of occurrences of pattern 1-2 after n iterations of morphism A007413. +0
1
3, 8, 28, 104, 400, 1568, 6208, 24704, 98560, 393728, 1573888, 6293504, 25169920, 100671488, 402669568, 1610645504, 6442516480, 25769934848, 103079477248, 412317384704, 1649268490240, 6597071863808, 26388283260928 (list; graph; listen)
OFFSET

1,1

LINKS

S. Kitaev and T. Mansour, Counting the occurrences of generalized patterns....

FORMULA

a(1) = 3, a(n) = {3*4^(n-1) + 2^n}/2.

G.f.: [6-20x+8x^2]/[(1-2x)(1-4x)].

PROGRAM

(PARI) a(n)=(3*4^(n-1)+2^n)/2

CROSSREFS

Sequence in context: A026627 A148866 A151431 this_sequence A135583 A009437 A000776

Adjacent sequences: A093353 A093354 A093355 this_sequence A093357 A093358 A093359

KEYWORD

nonn

AUTHOR

Ralf Stephan, Apr 27 2004

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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