This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A225601 a(n) = A000172(n)^n, where A000172(n) = Sum_{k=0..n} binomial(n,k)^3 forms the Franel numbers. 0
 1, 2, 100, 175616, 14331920656, 57921784155180032, 12255108779062338588246016, 140335244044685299494850396160000000, 89108073653130217591789722357691598453905367296, 3194443255354428321611505213481524389463527731906791539474432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA L.g.f.: Sum_{n>=1} a(n)*x^n/n = log( Sum_{n>=0} A216354(n)*x^n ). EXAMPLE L.g.f.: L(x) = 2*x + 100*x^2/2 + 175616*x^3/3 + 14331920656*x^4/4 + 57921784155180032*x^5/5 +... where exponentiation is an integer series: exp(L(x)) = 1 + 2*x + 52*x^2 + 58640*x^3 + 3583098592*x^4 + 11584364000042912*x^5 +...+ A216354(n)*x^n +... PROG (PARI) {a(n)=sum(k=0, n, binomial(n, k)^3)^n} for(n=0, 20, print1(a(n), ", ")) CROSSREFS cf. A216354, A000172. Sequence in context: A092699 A121975 A102188 * A126135 A016034 A171988 Adjacent sequences:  A225598 A225599 A225600 * A225602 A225603 A225604 KEYWORD nonn AUTHOR Paul D. Hanna, Aug 03 2013 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 June 25 07:53 EDT 2019. Contains 324347 sequences. (Running on oeis4.)