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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A228193 G.f.: exp( Sum_{n>=1} A001850(n^2)*x^n/n ), where A001850 forms the central Delannoy numbers. 1
 1, 3, 165, 488007, 63015285321, 313849204040245803, 57549960579131376060801997, 379048169979935686476204047966170767, 88353684521579654155696728418892273040483607185, 721871639878336367921338532273490438662977816273231098545619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA Logarithmic derivative yields A228192. EXAMPLE G.f.: A(x) = 1 + 3*x + 165*x^2 + 488007*x^3 + 63015285321*x^4 +... where the logarithm of the g.f. begins: log(A(x)) = 3*x + 321*x^2/2 + 1462563*x^3/3 + 252055236609*x^4/4 +...+ A001850(n^2)*x^n/n +... PROG (PARI) {A228192(n)=sum(k=0, n^2, binomial(n^2, k)*binomial(n^2+k, k))} {a(n)=polcoeff(exp(sum(k=1, n+1, A228192(k)*x^k/k) +x*O(x^n)), n)} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A228192, A001850. Sequence in context: A185242 A012806 A020545 * A297820 A297990 A298843 Adjacent sequences:  A228190 A228191 A228192 * A228194 A228195 A228196 KEYWORD nonn AUTHOR Paul D. Hanna, Aug 15 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 December 6 15:23 EST 2021. Contains 349563 sequences. (Running on oeis4.)