A077044 - cp's OEIS frontend

A077044 Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5(n-1)/2) and of x^ceiling(5(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.

n	a(n)
0	0
1	1
2	10
3	51
4	155
5	381
6	780
7	1451
8	2460
9	3951
10	6000
11	8801
12	12435
13	17151
14	23030
15	30381
16	39280
17	50101
18	62910
19	78151
20	95875
21	116601
22	140360
23	167751
24	198780
25	234131
26	273780
27	318501
28	368235
29	423851
30	485250
31	553401
32	628160
33	710601
34	800530

[0, 1, 10, 51, 155, 381, 780, 1451, 2460, 3951, 6000, 8801, 12435, 17151, 23030, 30381, 39280, 50101, 62910, 78151, 95875, 116601, 140360, 167751, 198780, 234131, 273780, 318501, 368235, 423851, 485250, 553401, 628160, 710601, 800530]

cp's OEIS Frontend

A077044 Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5(n-1)/2) and of x^ceiling(5(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.

Table of values

List of values

cp's OEIS Frontend

A077044 Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.

Table of values

List of values

A077044 Largest coefficient in expansion of (1 + x + x^2 + ... + x^(n-1))^5 = ((1-x^n)/(1-x))^5, i.e., the coefficient of x^floor(5(n-1)/2) and of x^ceiling(5(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n.