The OEIS is supported by the many generous donors to the OEIS Foundation.

A050484
Partial sums of A051946.
4
1, 12, 68, 264, 810, 2112, 4884, 10296, 20163, 37180, 65208, 109616, 177684, 279072, 426360, 635664, 927333, 1326732, 1865116, 2580600, 3519230, 4736160, 6296940, 8278920, 10772775, 13884156, 17735472, 22467808, 28242984, 35245760
OFFSET
0,2
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
FORMULA
a(n) = C(n+6, 6)*(5n+7)/7.
G.f.: (1+4*x)/(1-x)^8.
MATHEMATICA
CoefficientList[Series[(1 + 4 x)/(1 - x)^8, {x, 0, 50}], x] (* Vincenzo Librandi, Jul 30 2014 *)
Accumulate[CoefficientList[Series[(1+4x)/(1-x)^7, {x, 0, 40}], x]] (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 12, 68, 264, 810, 2112, 4884, 10296}, 30] (* Harvey P. Dale, Aug 21 2020 *)
PROG
(Magma) [((5*n+7)*Binomial(n+6, 6))/7: n in [0..60]]; // Vincenzo Librandi, Jul 30 2014
(PARI) a(n)=binomial(n+6, 6)*(5*n+7)/7 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
Cf. A051946, A093562 ((5, 1) Pascal, column m=7).
Sequence in context: A200205 A059585 A213547 * A359715 A238536 A096425
KEYWORD
easy,nonn
AUTHOR
Barry E. Williams, Dec 26 1999
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 23:07 EDT 2024. Contains 376015 sequences. (Running on oeis4.)