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A066341 Sum of distinct terms in n-th row of Fermat's triangle. +0
1
1, 1, 1, 1, 8, 1, 1, 1, 12, 1, 14, 1, 16, 17, 1, 1, 20, 1, 22, 23, 24, 1, 26, 1, 28, 1, 30, 1, 94, 1, 1, 35, 36, 37, 38, 1, 40, 41, 42, 1, 130, 1, 46, 47, 48, 1, 50, 1, 52, 53, 54, 1, 56, 57, 58, 59, 60, 1, 184, 1, 64, 65, 1, 67, 202, 1, 70, 71, 214, 1, 74, 1, 76, 77, 78, 79, 238, 1 (list; graph; listen)
OFFSET

2,5

EXAMPLE

Fermat's triangle is {1}, {1, 1}, {1, 0, 1}, {1, 1, 1, 1}, {1, 4, 3, 4, 1}, ... and the distinct terms in each row are {1}, {1}, {0, 1}, {1}, {1, 3, 4}, ... with sums 1, 1, 1, 1, 8, ...

MATHEMATICA

Plus@@@(Union/@Table[ (PowerMod[ #, EulerPhi[ k ], k ])&/@ Range[ k-1 ], {k, 2, 256} ]) or equivalently Table[ w=Length[ FactorInteger[ k ]]; (2^(w-1)-1)*k+2^(w-1), {k, 2, 256} ]

CROSSREFS

Sequence in context: A088842 A010152 A011264 this_sequence A010153 A133421 A128881

Adjacent sequences: A066338 A066339 A066340 this_sequence A066342 A066343 A066344

KEYWORD

easy,nonn

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be), Jan 01 2002

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


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