A297473 - cp's OEIS frontend

A297473 For any number n > 0, let f(n) be the polynomial of a single indeterminate x where the coefficient of x^e is the prime(1+e)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the polynomials of a single indeterminate x with nonnegative integer coefficients; let g be the inverse of f; a(n) = g(f(n)^2).

n	a(n)
1	1
2	2
3	5
4	16
5	11
6	90
7	17
8	512
9	625
10	550
11	23
12	6480
13	31
14	1666
15	2695
16	65536
17	41
18	101250
19	47
20	110000
21	10285
22	5566
23	59
24	1866240
25	14641
26	10478
27	1953125
28	653072
29	67
30	1212750
31	73
32	33554432
33	19435
34	23698
35	31603
36	65610000
37	83
38	33934
39	44795
40	88000000
41	97
42	9071370
43	103

[1, 2, 5, 16, 11, 90, 17, 512, 625, 550, 23, 6480, 31, 1666, 2695, 65536, 41, 101250, 47, 110000, 10285, 5566, 59, 1866240, 14641, 10478, 1953125, 653072, 67, 1212750, 73, 33554432, 19435, 23698, 31603, 65610000, 83, 33934, 44795, 88000000, 97, 9071370, 103]

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