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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007465 Exponential-convolution of triangular numbers with themselves.
(Formerly M4195)
1
1, 6, 30, 128, 486, 1692, 5512, 17040, 50496, 144512, 401664, 1089024, 2890240, 7529472, 19298304, 48754688, 121602048, 299827200, 731643904, 1768685568, 4239261696, 10081796096, 23805296640, 55839817728, 130187001856, 301813727232, 696036360192, 1597358735360 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, arXiv:math/0205301 [math.CO], 2002; Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
FORMULA
G.f.: (-1-6*x^4+12*x^3-10*x^2+4*x)/(2*x-1)^5. [Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
E.g.f.: (1/4)*exp(2*x)*(2 + 4*x + x^2)^2. - Ilya Gutkovskiy, Mar 21 2018
MATHEMATICA
a = DifferenceRoot[Function[{a, n}, {(-2n^4 - 28n^3 - 158n^2 - 388n - 384)* a[n] + (n^4 + 10n^3 + 43n^2 + 74n + 64)*a[n+1] == 0, a[0] == 1}]];
Table[a[n], {n, 0, 27}] (* Jean-François Alcover, Feb 24 2019 *)
CROSSREFS
Cf. A000217.
Sequence in context: A334326 A131458 A032205 * A261389 A073389 A320744
KEYWORD
nonn
AUTHOR
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 March 18 22:22 EDT 2024. Contains 370951 sequences. (Running on oeis4.)