login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A061151 1 + Sum_{n=1..inf} a_n x^n = 1/Product_{n=1..inf} (1+x^n)^prime(n). 6
1, -2, 0, -3, 5, -3, 14, -4, 25, -32, 16, -88, 18, -155, 108, -153, 393, -88, 855, -160, 1255, -974, 1122, -3172, 370, -6794, 383, -10017, 5004, -9460, 19380, -2635, 45790, 5008, 76263, -7353, 87597, -77967, 48886, -244397, -45016, -500016, -115318, -734277, 56213, -710603, 810177, -161662, 2432173, 910752, 4767086 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..50.

FORMULA

a(n) = 1/n*Sum_{k=1..n} a(n-k)*b(k), k>0, a(0)=1, b(k)=Sum_{d|k} (-1)^(k/d)*d*prime(d).

CROSSREFS

Cf. A007441, A007445, A030009, A061150, A061152.

Sequence in context: A161481 A272695 A196503 * A249774 A213407 A285310

Adjacent sequences:  A061148 A061149 A061150 * A061152 A061153 A061154

KEYWORD

easy,sign

AUTHOR

Vladeta Jovovic, Apr 16 2001

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 4 02:37 EST 2021. Contains 341774 sequences. (Running on oeis4.)