The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A280692 a(n) = A003961(n) - A250469(n). 8

%I #13 Mar 09 2017 10:10:50

%S 0,0,0,0,0,0,0,6,0,-6,0,12,0,-6,0,36,0,24,0,6,0,-24,0,66,0,-24,60,18,

%T 0,18,0,150,-20,-42,0,120,0,-42,-10,72,0,42,0,-12,60,-48,0,264,0,0,

%U -30,0,0,216,0,132,-30,-78,0,138,0,-72,120,540,0,0,0,-30,-30,24,0,462,0,-96,60,-18,0,24,0,330,420,-114,0,246

%N a(n) = A003961(n) - A250469(n).

%H Antti Karttunen, <a href="/A280692/b280692.txt">Table of n, a(n) for n = 1..10067</a>

%F a(n) = A003961(n) - A250469(n).

%t f[n_] := f[n] = Which[n == 1, 1, PrimeQ@ n, NextPrime@ n, True, Times @@ Replace[FactorInteger[n], {p_, e_} :> f[p]^e, 1]]; g[n_] := If[n == 1, 0, PrimePi@ FactorInteger[n][[1, 1]]]; Function[s, MapIndexed[ Function[{m, n}, f@ n - Lookup[s, g[n] + 1][[m]] + Boole[n == 1]][#1, First@ #2] &, #] &@ Map[Position[Lookup[s, g@ #], #][[1, 1]] &, Range@ 120]]@ PositionIndex@ Array[g, 10^4]] (* _Michael De Vlieger_, Mar 09 2017, Version 10 *)

%o (Scheme) (define (A280692 n) (- (A003961 n) (A250469 n)))

%Y Cf. A003961, A250469, A249820, A280492, A280497, A280498, A280702.

%Y Cf. A280693 (gives the positions of zeros).

%Y Cf. also arrays A083221 and A246278.

%K sign

%O 1,8

%A _Antti Karttunen_, Mar 08 2017

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 5 10:02 EDT 2024. Contains 373105 sequences. (Running on oeis4.)