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A176472 Smallest m for which A064380(m)-A000010(m)=n 10
2, 4, 9, 12, 22, 18, 38, 16, 93, 45, 62, 70, 44, 63, 36, 52, 64, 102, 48, 68, 84, 76, 90, 142, 146, 117, 81, 166, 174, 178, 126, 80, 150, 132, 116, 230, 124, 100, 156, 246, 266, 258, 254, 148, 112 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

My 1981 publication studies A064380 with the quite natural convention A064380(1)=1. So a(1) could alternatively be defined as 1. By the definitions, it is clear that A064380(m) >= A000010(m).

Theorem. For every n>=0, the equation A064380(m)-A000010(m)=n has infinitely many solutions.

REFERENCES

V. S. Abramovich(Shevelev), On an analog of the Euler function, Proceeding of the North-Caucasus Center of the Academy of Sciences of the USSR (Rostov na Donu), 2 (1981), 13-17.

V. S. Shevelev, Multiplicative functions in the Fermi-Dirac arithmetic, Izvestia Vuzov of the North-Caucasus region, Nature sciences 4 (1996), 28-43.

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..1000

S. Litsyn and V. S. Shevelev, On factorization of integers with restrictions on the exponent, INTEGERS: Electronic Journal of Combinatorial Number Theory, 7 (2007), #A33, 1-36.

MAPLE

A176472 := proc(n) local m; for m from 2 do if A064380(m) - numtheory[phi](m) = n then return m; end if; end do: end proc: # R. J. Mathar, Jun 16 2010

CROSSREFS

Cf. A000010, A064380, A050376, A050292.

Sequence in context: A092530 A154891 A282456 * A139557 A103690 A098009

Adjacent sequences:  A176469 A176470 A176471 * A176473 A176474 A176475

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Apr 18 2010

EXTENSIONS

a(2), a(3), a(8) and a(15) corrected and sequence extended by R. J. Mathar, Jun 16 2010

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)