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Search: id:A166552
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A166552 a(n) = 3*a(n-2) for n > 2; a(1) = 1; a(2) = 4. +0
1
1, 4, 3, 12, 9, 36, 27, 108, 81, 324, 243, 972, 729, 2916, 2187, 8748, 6561, 26244, 19683, 78732, 59049, 236196, 177147, 708588, 531441, 2125764, 1594323, 6377292, 4782969, 19131876, 14348907, 57395628, 43046721, 172186884, 129140163 (list; graph; listen)
OFFSET

1,2

COMMENT

Interleaving of A000244 and 4*A000244.

Apparently a(n) = A074324(n); A074324 has offset 0.

First differences are in A162852.

Second binomial transform is A054491. Fourth binomial transform is A153594.

FORMULA

a(n) = (7+(-1)^n)*3^(1/4*(2*n-5+(-1)^n))/2.

G.f.: x*(1+4*x)/(1-3*x^2).

PROGRAM

(MAGMA) [ n le 2 select 3*n-2 else 3*Self(n-2): n in [1..35] ];

CROSSREFS

Equals A162766 preceded by 1.

Cf. A000244 (powers of 3), A074324, A162852, A054491, A153594.

Sequence in context: A055523 A074324 A162766 this_sequence A122804 A122544 A054908

Adjacent sequences: A166549 A166550 A166551 this_sequence A166553 A166554 A166555

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 16 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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