login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A276235 Number of triangular partitions of n of order 6. 4
1, 6, 21, 61, 156, 361, 781, 1599, 3124, 5876, 10696, 18917, 32627, 55027, 90948, 147604, 235610, 370395, 574181, 878616, 1328343, 1985833, 2937727, 4303249, 6245316, 8984932, 12819913, 18149148, 25503623, 35586130, 49321916, 67922649, 92967170, 126503102 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

L. Carlitz, R. Scoville, A generating function for triangular partitions, Math. Comp. 29 (1975) 67-77.

FORMULA

G.f.: 1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2* (1-x^11)).

MATHEMATICA

CoefficientList[Series[1/((1 - x)^6 (1 - x^3)^5 (1 - x^5)^4 (1 - x^7)^3 (1 - x^9)^2 (1 - x^11)), {x, 0, 50}], x]

PROG

(MAGMA) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2*(1-x^11))));

(PARI) Vec(1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2*(1-x^11)) + O(x^30)) \\ Felix Fröhlich, Aug 29 2016

CROSSREFS

Cf. number of triangular partitions of n of order k: A000012 (k=1), A001840 (k=2), A084439 (k=3). A084446 (k=4), A084447 (k=5), this sequence (k=6), A276236 (k=7), A276279 (k=8), A276280 (k=9).

Sequence in context: A113070 A009147 A012593 * A334833 A048476 A122678

Adjacent sequences:  A276232 A276233 A276234 * A276236 A276237 A276238

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Aug 29 2016

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 07:34 EDT 2020. Contains 337289 sequences. (Running on oeis4.)