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A183066
G.f.: A(x) = (1 + 21*x + 3*x^2 - x^3)/(1-x)^5.
4
1, 26, 123, 364, 845, 1686, 3031, 5048, 7929, 11890, 17171, 24036, 32773, 43694, 57135, 73456, 93041, 116298, 143659, 175580, 212541, 255046, 303623, 358824, 421225, 491426, 570051, 657748, 755189, 863070, 982111, 1113056, 1256673, 1413754, 1585115, 1771596
OFFSET
0,2
FORMULA
a(n) = A183065(n+1,1).
From Stefano Spezia, Mar 10 2026: (Start)
a(n) = n^4 + 6*n^3 + 11*n^2 + 7*n + 1.
E.g.f.: exp(x)*(1 + 25*x + 36*x^2 + 12*x^3 + x^4). (End)
MATHEMATICA
a[n_]:=1+7n+11n^2+6n^3+n^4; Array[a, 36, 0] (* Stefano Spezia, Mar 10 2026 *)
PROG
(PARI) {a(n)=polcoeff((1+21*x+3*x^2-x^3)/(1-x+x*O(x^n))^5, n)}
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul D. Hanna, Dec 22 2010
STATUS
approved