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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A053367 Partial sums of A050494. 5
1, 11, 63, 255, 825, 2277, 5577, 12441, 25740, 50050, 92378, 163098, 277134, 455430, 726750, 1129854, 1716099, 2552517, 3725425, 5344625, 7548255, 10508355, 14437215, 19594575, 26295750, 34920756, 45924516, 59848228, 77331980, 99128700, 126119532, 159330732, 199952181, 249357615 (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

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

a(n) = binomial(n+7, 7)*(3n+8)/8.

G.f.: (1+2*x)/(1-x)^9.

MATHEMATICA

LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 11, 63, 255, 825, 2277, 5577, 12441, 25740}, 30] (* or *) Table[(3*n+8)* Binomial[n+7, 7]/8, {n, 0, 30}] (* G. C. Greubel, May 25 2018 *)

PROG

(PARI) a(n)=binomial(n+7, 7)*(3*n+8)/8 \\ Charles R Greathouse IV, Oct 07 2015

(MAGMA) [(3*n+8)*Binomial(n+7, 7)/8: n in [0..30]]; // G. C. Greubel, May 25 2018

CROSSREFS

Cf. A050494.

Cf. A093560 ((3, 1) Pascal, column m=8).

Sequence in context: A301610 A298046 A120723 * A163706 A180763 A285361

Adjacent sequences:  A053364 A053365 A053366 * A053368 A053369 A053370

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jan 06 2000

EXTENSIONS

Terms a(24) onward added by G. C. Greubel, May 25 2018

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 October 23 21:41 EDT 2018. Contains 316541 sequences. (Running on oeis4.)