OFFSET
1,1
LINKS
T. D. Noe, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (19,-171,969,-3876,11628,-27132,50388,-75582, 92378,-92378,75582,-50388,27132,-11628,3876,-969,171,-19,1).
FORMULA
a(n) = T(n,9); T(n,k) = Sum_{i=1..n} binomial(n+1,i)*binomial(k-1,i-1)*binomial(n-i+k,k).
G.f.: 2*x*(1 +8*x +64*x^2 +224*x^3 +784*x^4 +1568*x^5 +3136*x^6 +3920*x^7 +4900*x^8 +3920*x^9 +3136*x^10 +1568*x^11 +784*x^12 +224*x^13 +64*x^14 +8*x^15 +x^16)/(1-x)^19. - Colin Barker, Jan 25 2013
a(n) = (48620/18!)*n*(n+1)*(14631321600 +26760222720*n +38452817664*n^2 +25217041536*n^3 +17311651344*n^4 +5993468992*n^5 +2592460808*n^6 +533444296*n^7 +163476113*n^8 +20735776*n^9 +4812092*n^10 +370160*n^11 +67942*n^12 +2912*n^13 +436*n^14 +8*n^15 +n^16). - G. C. Greubel, Jan 24 2022
MATHEMATICA
Table[(48620/18!)*n*(n+1)*(14631321600 +26760222720*n +38452817664*n^2 +25217041536*n^3 +17311651344*n^4 +5993468992*n^5 +2592460808*n^6 +533444296*n^7 +163476113*n^8 +20735776*n^9 +4812092*n^10 +370160*n^11 +67942*n^12 +2912*n^13 +436*n^14 +8*n^15 +n^16), {n, 50}] (* G. C. Greubel, Jan 24 2022 *)
PROG
(Sage) [(48620/factorial(18))*n*(n+1)*(14631321600 +26760222720*n +38452817664*n^2 +25217041536*n^3 +17311651344*n^4 +5993468992*n^5 +2592460808*n^6 +533444296*n^7 +163476113*n^8 +20735776*n^9 +4812092*n^10 +370160*n^11 +67942*n^12 +2912*n^13 +436*n^14 +8*n^15 +n^16) for n in (1..50)] # G. C. Greubel, Jan 24 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
R. H. Hardin, Feb 22 2009
STATUS
approved