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A156834 A156348 * A000010 5
1, 2, 3, 5, 5, 12, 7, 17, 19, 30, 11, 63, 13, 56, 99, 89, 17, 154, 19, 269, 237, 132, 23, 509, 301, 182, 379, 783, 29, 1230, 31, 881, 813, 306, 2125, 2431, 37, 380, 1299, 4157, 41, 4822, 43, 3695, 6175, 552, 47, 8529, 5587, 6266, 2787 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: for n>1, a(n) = n iff n is prime. Companion to A156833.

LINKS

Table of n, a(n) for n=1..51.

FORMULA

Equals A156348 * A054525 * [1, 2, 3,...]; where A054525 = the inverse Mobius

transform.

EXAMPLE

a(4) = 5 = (1, 2, 0, 1) dot (1, 1, 2, 2) = (1 + 2 + 0 + 2), where row 4

of A156348 = (1, 2, 0, 1) and (1, 1, 2, 2) = the first 4 terms of Euler's

phi function.

MAPLE

A156834 := proc(n)

        add(A156348(n, k)*numtheory[phi](k), k=1..n) ;

end proc: # R. J. Mathar, Mar 03 2013

CROSSREFS

Cf. A156348, A000010, A156833

Equals row sums of triangle A157030 [From Gary W. Adamson, Feb 21 2009]

Sequence in context: A152076 A133278 A050368 * A079024 A319631 A097453

Adjacent sequences:  A156831 A156832 A156833 * A156835 A156836 A156837

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson, Feb 16 2009

EXTENSIONS

Extended beyond a(14) by R. J. Mathar, Mar 03 2013

STATUS

approved

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Last modified August 18 04:50 EDT 2019. Contains 326072 sequences. (Running on oeis4.)