A245435 - cp's OEIS frontend

A245435 For any composite number n with more than a single prime factor, take the polynomial defined by the product of the terms (x-pi)^ei, where pi are the prime factors of n with multiplicities ei. Integrate this polynomial from the minimum to the maximum value of pi. This sequence lists the values of the integrals that are integer.

n	a(n)
1	-36
2	-288
3	-36
4	0
5	-972
6	-288
7	0
8	-2304
9	-36
10	-500
11	-33750
12	-7776
13	-2304
14	0
15	-12348
16	-36
17	-288
18	-4500
19	-18432
20	-108
21	-4096
22	-26244
23	-7776
24	-972
25	-5000
26	-47916
27	-1372
28	-36
29	-36
30	-972
31	-79092
32	-1728
33	-26244
34	500
35	-98784
36	-4500
37	-43904
38	-36000
39	-16875
40	-2304
41	-8000

[-36, -288, -36, 0, -972, -288, 0, -2304, -36, -500, -33750, -7776, -2304, 0, -12348, -36, -288, -4500, -18432, -108, -4096, -26244, -7776, -972, -5000, -47916, -1372, -36, -36, -972, -79092, -1728, -26244, 500, -98784, -4500, -43904, -36000, -16875, -2304, -8000]

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Table of values

List of values