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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A189997 Partial sums of A061742. 2
 1, 5, 41, 941, 45041, 5381141, 907182041, 261527642141, 94345513738241, 49864774158575141, 41906795264466408041, 40266416996450293824941, 55107620882419848027561041, 92623330477259151438437945141, 171251267391917835862107238146041 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sum of squares of products of first n primes. The subsequence of primes begins: 5, 41, 941, 5381141, ... a(n) is prime for n = 1, 2, 3, 5, 13, 51, 80, 342, 1754, and no other value below 3000. - Amiram Eldar, Nov 11 2017 LINKS G. C. Greubel, Table of n, a(n) for n = 0..195 FORMULA Sum_{i=0..n} A061742(i) = Sum_{i=0..n} A002110(i)^2. EXAMPLE a(13) = 1 + 4 + 36 + 900 + 44100 + 5336100 + 901800900 + 260620460100 + 94083986096100 + 49770428644836900 + 41856930490307832900, 40224510201185827416900 + 55067354465423397733736100 + 92568222856376731590410384100. MATHEMATICA primorial[n_] := Product[Prime[i], {i, n}]; a[n_] := Sum[primorial[k]^2, {k, 1, n}]; Table[a[n] + 1, {n, 0, 15}] (* Amiram Eldar, Nov 11 2017 *) CROSSREFS Cf. A000040, A002110, A061742. Sequence in context: A076131 A003719 A181033 * A197173 A052113 A318294 Adjacent sequences:  A189994 A189995 A189996 * A189998 A189999 A190000 KEYWORD nonn,easy AUTHOR Jonathan Vos Post, May 03 2011 EXTENSIONS Some terms corrected by Amiram Eldar, Nov 11 2017 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.

Last modified August 6 11:55 EDT 2020. Contains 336246 sequences. (Running on oeis4.)