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A052206 Partial sums of A050405. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 5 20:54 EST 2019. Contains 329779 sequences. (Running on oeis4.)