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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A319256 Expansion of Product_{k>0} (1 + k*(k+1)/2 * x^(k*(k+1)/2)). 1
1, 1, 0, 3, 3, 0, 6, 6, 0, 18, 28, 10, 0, 30, 30, 15, 75, 60, 45, 225, 180, 111, 111, 0, 333, 483, 150, 126, 604, 478, 378, 1572, 1194, 0, 3498, 3498, 351, 2115, 2044, 1333, 4833, 4620, 2946, 2526, 2100, 8043, 11133, 9810, 5175, 13773, 13638, 810, 31194, 34584, 6630 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sum of products of terms in all partitions of n into distinct triangular numbers (A000217).

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

a(16) = 75 because we have [15, 1], [10, 6], 15*1 = 15, 10*6 = 60 and 15 + 60 = 75.

CROSSREFS

Cf. A000217, A024940, A282866, A319257.

Sequence in context: A322215 A244492 A210838 * A117234 A122831 A019701

Adjacent sequences:  A319253 A319254 A319255 * A319257 A319258 A319259

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 15 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 11:26 EDT 2019. Contains 328216 sequences. (Running on oeis4.)