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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A102741 a(n) = 3^4 * binomial(n+3, 4). 4
81, 405, 1215, 2835, 5670, 10206, 17010, 26730, 40095, 57915, 81081, 110565, 147420, 192780, 247860, 313956, 392445, 484785, 592515, 717255, 860706, 1024650, 1210950, 1421550, 1658475, 1923831, 2219805, 2548665, 2912760, 3314520, 3756456, 4241160, 4771305, 5349645 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

G.f.: 81*x/(1-x)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009

E.g.f.: (27/8)*x*(24 + 36*x + 12*x^2 + x^3)*exp(x). - G. C. Greubel, May 17 2021

From Amiram Eldar, Aug 28 2022: (Start)

Sum_{n>=1} 1/a(n) = 4/243.

Sum_{n>=1} (-1)^(n+1)/a(n) = 32*log(2)/81 - 64/243. (End)

MAPLE

seq(binomial(n+3, 4)*3^4, n=1..27);

MATHEMATICA

With[{c=3^4}, Table[c Binomial[n+3, 4], {n, 40}]] (* Harvey P. Dale, Mar 12 2011 *)

PROG

(Magma) [3^4*Binomial(n+3, 4): n in [1..30]]; // G. C. Greubel, May 17 2021

(Sage) [3^4*binomial(n+3, 4) for n in (1..30)] # G. C. Greubel, May 17 2021

CROSSREFS

Cf. A027465.

Sequences of the form 3^m*binomial(n+m-1, m): A008585 (m=1), A027468 (m=2), A134171 (m=3), this sequence (m=4), A113335 (m=5).

Sequence in context: A237182 A237176 A357015 * A253495 A253456 A236155

Adjacent sequences: A102738 A102739 A102740 * A102742 A102743 A102744

KEYWORD

nonn,easy

AUTHOR

Zerinvary Lajos, Aug 06 2008

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 11:34 EST 2022. Contains 358441 sequences. (Running on oeis4.)