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A101119 Nonzero differences of A006519 (highest power of 2 dividing n) and A003484 (Radon function). +0
6
7, 22, 7, 52, 7, 22, 7, 112, 7, 22, 7, 52, 7, 22, 7, 239, 7, 22, 7, 52, 7, 22, 7, 112, 7, 22, 7, 52, 7, 22, 7, 494, 7, 22, 7, 52, 7, 22, 7, 112, 7, 22, 7, 52, 7, 22, 7, 239, 7, 22, 7, 52, 7, 22, 7, 112, 7, 22, 7, 52, 7, 22, 7, 1004, 7, 22, 7, 52, 7, 22, 7, 112, 7, 22, 7, 52, 7, 22, 7, 239 (list; graph; listen)
OFFSET

1,1

COMMENT

A006519 and A003484 differ only at every 16-th term; this sequence forms the nonzero differences. Records form A101120. Equals the XOR BINOMIAL transform of A101122.

FORMULA

a(n) = A006519(16*n) - A003484(16*n) for n>=1. a(2*n-1) = 7 for n>=1.

PROGRAM

(PARI) {a(n)=2^valuation(16*n, 2)-(8*(valuation(16*n, 2)\4)+2^(valuation(16*n, 2)%4))}

CROSSREFS

Cf. A003484, A006519, A101120, A101122.

Sequence in context: A111878 A082826 A130740 this_sequence A070412 A055575 A041090

Adjacent sequences: A101116 A101117 A101118 this_sequence A101120 A101121 A101122

KEYWORD

nonn

AUTHOR

Simon Plouffe (plouffe(AT)math.uqam.ca) and Paul D. Hanna (pauldhanna(AT)juno.com), Dec 02 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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