login
This site is supported by donations to The OEIS Foundation.

 

Logo

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A050406 Partial sums of A051880. 2
1, 16, 91, 336, 966, 2352, 5082, 10032, 18447, 32032, 53053, 84448, 129948, 194208, 282948, 403104, 562989, 772464, 1043119, 1388464, 1824130, 2368080, 3040830, 3865680, 4868955, 6080256, 7532721, 9263296 (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.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n)=C(n+5, 5)*(5n+3)/3.

G.f.: (1+9*x)/(1-x)^7.

MATHEMATICA

Nest[Accumulate[#]&, Table[n(n+1)(10n-7)/6, {n, 0, 50}], 3] (* Harvey P. Dale, Nov 13 2013 *)

CROSSREFS

Cf. A051880.

Cf. A093645 ((10, 1) Pascal, column m=6).

Sequence in context: A055856 A195591 A240292 * A047674 A153029 A027938

Adjacent sequences:  A050403 A050404 A050405 * A050407 A050408 A050409

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Dec 21 1999

EXTENSIONS

Corrected by T. D. Noe, Nov 09 2006

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 24 22:27 EDT 2018. Contains 315360 sequences. (Running on oeis4.)