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A158302 "1" followed by repeats of 2^k deleting all 4^k, k>0 +0
1
1, 2, 2, 8, 8, 32, 32, 128, 128, 512, 512, 2048, 2048, 8192, 8192, 32768, 32768 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform = A122983: (1, 3, 7, 21, 61, 183,...). Equals right border of triangle A158301.

FORMULA

1 followed by repeats of powers of 2, deleting powers of 4: (4, 16, 64,...). Inverse binomial transform of A122983 starting (1, 3, 7, 21, 61, 183,...).

EXAMPLE

Given "1" followed by repeats of powers of 2: (1, 2, 2, 4, 4, 8, 8, 16, 16,...);

delete powers of 4: (4, 16, 64, 156,...) leaving A158300:

(1, 2, 2, 8, 8, 32, 32, 128, 128,...).

CROSSREFS

Cf. A122983, A158301

Sequence in context: A120544 A155950 A162959 this_sequence A007083 A144060 A016119

Adjacent sequences: A158299 A158300 A158301 this_sequence A158303 A158304 A158305

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 15 2009

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


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