A052255 Partial sums of A050484.

1, 13, 81, 345, 1155, 3267, 8151, 18447, 38610, 75790, 140998, 250614, 428298, 707370, 1133730, 1769394, 2696727, 4023459, 5888575, 8469175, 11988405, 16724565, 23021505, 31300425

Offset: 0

Author

Barry E. Williams, Feb 02 2000

Keywords

• easy
• nonn

References

• A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
• Murray R.Spiegel, Calculus of Finite Differences and Difference Equations, "Schaum's Outline Series", McGraw-Hill, 1971, pp. 10-20, 79-94.

Links

• Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A050484.

Cf. A093562 ((5, 1) Pascal, column m=8).

Formula

a(n) = (5n+8)*C(n+7, 7)/8.

G.f.: (1+4*x)/(1-x)^9.