A394192 - OEIS

A394192

a(n) = n^3 - n^2 + 5*n + 2.

2, 7, 16, 35, 70, 127, 212, 331, 490, 695, 952, 1267, 1646, 2095, 2620, 3227, 3922, 4711, 5600, 6595, 7702, 8927, 10276, 11755, 13370, 15127, 17032, 19091, 21310, 23695, 26252, 28987, 31906, 35015, 38320, 41827, 45542, 49471, 53620, 57995, 62602, 67447, 72536, 77875, 83470

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OFFSET

0,1

REFERENCES

Murray R. Spiegel, Calculus of Finite Differences and Difference Equations, "Schaum's Outline Series", McGraw-Hill, 1971, exercise 2.8 on page 43.

LINKS

Table of n, a(n) for n=0..44.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3.

G.f.: (2 - x + 5*x^3)/(1 - x)^4.

E.g.f.: exp(x)*(2 + 5*x + 2*x^2 + x^3).