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Search: id:A133655
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A133655 a(n) = 2*A016777(n) + A016777(n-1) - (n+1). +0
1
1, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 119, 127, 135, 143, 151, 159, 167, 175, 183, 191, 199, 207, 215, 223, 231, 239, 247, 255, 263, 271, 279, 287, 295, 303, 311, 319, 327, 335, 343, 351, 359, 367, 375, 383, 391, 399, 407, 415 (list; graph; listen)
OFFSET

0,2

FORMULA

Equals "1" followed by A004771. A016777 = 3n+1: (1, 4, 7, 10,...), A004771 = 8n+7: (7, 15, 23, 31, 39,...). Binomial transform of [1, 6, 2, -2, 2, -2, 2,...].

EXAMPLE

a(3) = 23 = 2*A016777(3) + A016777(2) - 4 = 2*10 + 7 - 4.

a(3) = 23 = (1, 3, 3, 1) dot (1, 6, 2, -2) = (1, 18, 6, -2).

CROSSREFS

Cf. A004771, A016777.

Sequence in context: A059562 A017149 A004771 this_sequence A029724 A056828 A113505

Adjacent sequences: A133652 A133653 A133654 this_sequence A133656 A133657 A133658

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 20 2007

EXTENSIONS

More terms and corrected definition from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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