A074051 - cp's OEIS frontend

A074051 For each n there are uniquely determined numbers a(n) and b(n) and a polynomial p_n(x) such that for all integers m we have Sum_{i=1..m}i^n(i+1)! = a(n)Sum_{i=1..m} (i+1)! + p_n(m)(m+2)! + b(n). The sequence b(n) is A074052.

n	a(n)
0	1
1	-1
2	0
3	3
4	-7
5	0
6	59
7	-217
8	146
9	2593
10	-15551
11	32802
12	160709
13	-1856621
14	7971872
15	1299951
16	-287113779
17	2262481448
18	-7275903849
19	-36989148757
20	698330745002
21	-4867040141851
22	10231044332629
23	184216198044034
24	-2679722886596295
25	17971204188130391
26	-17976259717948832

[1, -1, 0, 3, -7, 0, 59, -217, 146, 2593, -15551, 32802, 160709, -1856621, 7971872, 1299951, -287113779, 2262481448, -7275903849, -36989148757, 698330745002, -4867040141851, 10231044332629, 184216198044034, -2679722886596295, 17971204188130391, -17976259717948832]

cp's OEIS Frontend

A074051 For each n there are uniquely determined numbers a(n) and b(n) and a polynomial p_n(x) such that for all integers m we have Sum_{i=1..m}i^n(i+1)! = a(n)Sum_{i=1..m} (i+1)! + p_n(m)(m+2)! + b(n). The sequence b(n) is A074052.

Table of values

List of values

cp's OEIS Frontend

A074051 For each n there are uniquely determined numbers a(n) and b(n) and a polynomial p_n(x) such that for all integers m we have Sum_{i=1..m}i^n(i+1)! = a(n)*Sum_{i=1..m} (i+1)! + p_n(m)*(m+2)! + b(n). The sequence b(n) is A074052.

Table of values

List of values

A074051 For each n there are uniquely determined numbers a(n) and b(n) and a polynomial p_n(x) such that for all integers m we have Sum_{i=1..m}i^n(i+1)! = a(n)Sum_{i=1..m} (i+1)! + p_n(m)(m+2)! + b(n). The sequence b(n) is A074052.