OFFSET
0,3
COMMENTS
This is row (or column) m=5 of the array T in A285357.
LINKS
D. E. Knuth (Proposer), Problem 12005, Amer. Math. Monthly 124 (No. 8, Oct. 2017), page 755. For the solution see op. cit., 126 (No. 7, 2019), 660-664.
Roberto Tauraso, Problem 12005, Proposed solution.
Index entries for linear recurrences with constant coefficients, signature (31,-432,3580,-19666,75558,-208736,419600,-613605,644771,-473432,230220,-66528,8640).
FORMULA
a(n) = (5^(n+7)+(2*n-66)*4^(n+6)+(16*n^2-1432*n+13164)*3^(n+3) +(303*n-1505)*2^(n+10)+576*n^4+13248*n^3+129936*n^2+646972*n+1377903)/576.
G.f.: (x +26*x^2 -264*x^3 +122*x^4 +4367*x^5 -11668*x^6 +3000*x^7 +11168*x^8 +160*x^9) / ((1-x)^5*(1-2*x)^2*(1-3*x)^3*(1-4*x)^2*(1-5*x)).
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roberto Tauraso, Aug 02 2020
STATUS
approved