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A129094 a(n) = A030067(2^n + 2^(n-1) - 1) for n>=1, where A030067 gives the semi-Fibonacci numbers. 3
1, 3, 9, 35, 189, 1523, 19409, 407067, 14448821, 886912635, 95777365753, 18445977557011, 6405629912921517, 4047190499790323395, 4687597187390655089313, 10017007133285072336267467 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

This sequence equals the central terms of the triangle formed from the semi-Fibonacci numbers (A030067) with 2^n terms in row n for n>=1:

n=0: 1;

n=1: (1), 2;

n=2: 1, (3), 2, 5;

n=3: 1, 6, 3, (9), 2, 11, 5, 16;

n=4: 1, 17, 6, 23, 3, 26, 9, (35), 2, 37, 11, 48, 5, 53, 16, 69; ...

The semi-Fibonacci numbers (A030067) start:

[1, (1), 2, 1, (3), 2, 5, 1, 6, 3, (9), 2, 11, 5, 16, 1, ...],

and obey the recurrence:

A030067(n) = A030067(n/2) when n is even; and

A030067(n) = A030067(n-1) + A030067(n-2) when n is odd.

PROG

(PARI)

CROSSREFS

Cf. A030067; A129092, A129093.

Sequence in context: A155858 A000834 A005346 * A059424 A002575 A125792

Adjacent sequences:  A129091 A129092 A129093 * A129095 A129096 A129097

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Mar 29 2007

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.