A052206 Partial sums of A050405.

1, 16, 100, 408, 1290, 3432, 8052, 17160, 33891, 62920, 110968, 187408, 304980, 480624, 736440, 1100784, 1609509, 2307360, 3249532, 4503400, 6150430, 8288280, 11033100, 14522040, 18915975

Offset

0,2

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

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

a(n) = (9n+7)*C(n+6, 6)/7.

G.f.: (1+8*x)/(1-x)^8.

Mathematica

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 16, 100, 408, 1290, 3432, 8052, 17160}, 30] (* Harvey P. Dale, May 28 2018 *)

Crossrefs

Cf. A050405.

Cf. A093644 ((9, 1) Pascal, column m=7).

Sequence in context: A108677 A001249 A014796 * A169721 A125326 A126484

Adjacent sequences: A052203 A052204 A052205 * A052207 A052208 A052209

Keyword

easy,nonn

Author

Barry E. Williams, Jan 28 2000

Status

approved