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!)
 A227934 G.f.: Sum_{n>=0} x^n / (1-x)^(n^4). 3
 1, 1, 2, 18, 219, 4395, 129280, 4970984, 257765641, 16781325293, 1348125117404, 132465548869248, 15490711962965785, 2134540479514352751, 343307151209151099650, 63606662918084631874716, 13470938654397531939066909, 3238387688528230753569245297, 876825599524773154743990986391 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) = Sum_{k=0..n} binomial(k^4 + n-k-1, n-k). EXAMPLE G.f.: A(x) = 1 + x + 2*x^2 + 18*x^3 + 219*x^4 + 4395*x^5 + 129280*x^6 +... where A(x) = 1 + x/(1-x) + x^2/(1-x)^16 + x^3/(1-x)^81 + x^4/(1-x)^256 + x^5/(1-x)^625 + x^6/(1-x)^1296 + x^7/(1-x)^2401 +... PROG (PARI) {a(n)=polcoeff(sum(k=0, n, x^k/(1-x+x*O(x^n))^(k^4)), n)} for(n=0, 20, print1(a(n), ", ")) (PARI) {a(n)=sum(k=0, n, binomial(k^4+n-k-1, n-k))} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A178325, A230050, A227935. Sequence in context: A217239 A279045 A155666 * A245112 A260332 A254999 Adjacent sequences:  A227931 A227932 A227933 * A227935 A227936 A227937 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 06 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 September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)