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A130586
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Row sums of triangle A130585.
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1
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1, 3, 9, 19, 65, 75, 385, 531, 1545, 2115, 10241, 8283, 49153, 49539, 131145, 262675, 1048577, 788043, 4718593, 4196435, 12583305, 20981763, 92274689, 67117659, 335544385, 402702339, 1207961097, 1610662291, 7516192769, 4295100555
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A130584 row sums = A001792, the binomial transform of [1,2,3...]: (1, 3, 8, 20, 48, 112,...).
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FORMULA
| Row sums of A130585
a(n-1) = sum( phi(n/d) 2^(n/d -1), d divides n) [Olivier Gérard, Jan 01 2012]
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EXAMPLE
| a(3) = 19 = sum of row 3 terms of A130585: (4 + 7 + 6 + 2).
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MATHEMATICA
| Table[Plus@@Map[Function[d, EulerPhi[(n+1)/d] 2^((n+1)/d-1)], Divisors[n+1]], {n, 0, 30}] (* Olivier Gérard, Jan 01 2012 *)
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CROSSREFS
| Cf. A130585, A001792, A130584.
Sequence in context: A018316 A146605 A147070 * A147146 A146066 A164283
Adjacent sequences: A130583 A130584 A130585 * A130587 A130588 A130589
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 06 2007
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EXTENSIONS
| More terms by Olivier Gérard (olivier.gerard(AT)gmail.com), Jan 01 2012
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