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A053296 Partial sums of A053295. 8
1, 8, 37, 129, 376, 967, 2267, 4950, 10220, 20175, 38403, 70954, 127921, 226007, 392688, 672959, 1140260, 1914166, 3189022, 5280288, 8699540, 14275838, 23352118, 38102976, 62048869, 100888126, 163843187, 265838881 (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. 189, 194-196.

LINKS

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (8,-27,49,-49,21,7,-13,6,-1).

FORMULA

a(n) = Sum_{i=0..floor(n/2)} C(n+7-i, n-2i), n >= 0.

a(n) = Sum_{k=1..n} C(n-k+7,k+6), with n>=0. - Paolo P. Lava, Apr 16 2008

EXAMPLE

a(n) = a(n-1) + a(n-2) + C(n+6,6); n >= 0; a(-1)=0.

MATHEMATICA

lst={}; s0=s1=s2=s3=s4=s5=s6=0; Do[s0+=a[n]; s1+=s0; s2+=s1; s3+=s2; s4+=s3; s5+=s4; s6+=s5; AppendTo[lst, s6], {n, 0, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 10 2008 *)

CROSSREFS

Cf. A053739, A014166 and A136431.

Right-hand column 14 of triangle A011794.

Cf. A228074.

Sequence in context: A052387 A001780 A258476 * A055799 A035038 A240188

Adjacent sequences:  A053293 A053294 A053295 * A053297 A053298 A053299

KEYWORD

easy,nonn,changed

AUTHOR

Barry E. Williams, Mar 04 2000

STATUS

approved

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Last modified February 21 14:39 EST 2018. Contains 299414 sequences. (Running on oeis4.)