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A133726 A054525 * A000129. 0
1, 1, 4, 10, 28, 64, 168, 396, 980, 2348, 5740, 13780, 33460, 80612, 194992, 470424, 1136688, 2743160, 6625108, 15992040, 38613792, 93216616, 225058680, 543325464, 1311738092, 3166782500, 7645369060, 18457475260, 44560482148, 107578322912, 259717522848 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

Mobius transform of the Pell numbers.

EXAMPLE

a(4) = 10 = (0, -1, 0, 1) dot (1, 2, 5, 12) = (0, -2, 0, 12).

MAPLE

with (numtheory):

a:= n-> add (mobius(n/d)*(<<0|1>, <1|2>>^d. <<0, 1>>)[1, 1], d=divisors(n)):

seq (a(n), n=1..40);  # Alois P. Heinz, Sep 26 2011

CROSSREFS

Cf. A000129, A054525.

Sequence in context: A092504 A034920 A038579 * A026534 A203293 A111308

Adjacent sequences:  A133723 A133724 A133725 * A133727 A133728 A133729

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 21 2007

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Last modified February 17 23:43 EST 2012. Contains 206085 sequences.