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A260059 Infinite square array whose n-th row lists the numbers k for which A086793(k)=n, where A086793 = number of iteration of A034690 (sum of digits of divisors) to reach a fixed point, read by antidiagonals. 1
8, 14, 7, 20, 21, 4, 26, 39, 35, 3, 59, 43, 44, 54, 2, 62, 52, 48, 56, 11, 19, 122, 57, 49, 128, 101, 37, 12, 123, 61, 50, 171, 136, 73, 64, 6, 143, 67, 65, 182, 138, 109, 108, 29, 5, 149, 84, 99, 188, 160, 127, 301, 33, 23, 13, 167, 93, 104, 216, 184, 163, 553, 47, 24, 31, 9, 206, 112, 105, 248, 190, 181, 589, 83, 28, 38, 25, 10, 239 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The fixed points of A034690 are 1 and 15, these are the only numbers not appearing in this table. All other positive integers appear exactly once.

Is there a simple explanation why row 7 seems to grow significantly faster than the neighboring rows?

From row 21 on, the terms become very large: cf. A094501 which is the first column with 15 prefixed.

LINKS

Table of n, a(n) for n=1..79.

EXAMPLE

The rows read

[ 8, 14, 20, 26, 59, 62, 122, 123, 143, 149, 167, 206, 239, 257, 293, 302,...],

[ 7, 21, 39, 43, 52, 57, 61, 67, 84, 93, 112, 124, 139, 151, 157, 189,...],

[ 4, 35, 44, 48, 49, 50, 65, 99, 104, 105, 116, 121, 125, 132, 140, 141,...],

[ 3, 54, 56, 128, 171, 182, 188, 216, 248, 252, 261, 264, 268, 270, 333, 387,...],

[ 2, 11, 101, 136, 138, 160, 184, 190, 208, 232, 238, 255, 282, 290, 318, 328,...],

[19, 37, 73, 109, 127, 163, 181, 271, 307, 396, 433, 523, 541, 613, 631, ...],

[12, 64, 108, 301, 553, 589, 949,1089,1197,1273,1687,1876,1957,2116, ...],

[ 6, 29, 33, 47, 83, 137, 173, 191, 227, 263, 281, 303, 317, ...],

[ 5, 23, 24, 28, 41, 42, 45, 92, 113, 131, 158, 164, ...],

[13, 31, 38, 60, 69, 74, 76, 77, 80, 86, 88, ...],

[ 9, 25, 72, 81, 117, 126, 156, 172, 258, 300, ...],

[10, 17, 22, 53, 71, 96, 107, 133, 202, ...], etc.

The first column is A094501.

PROG

(PARI) (f(k, N=20, a=[], n=0)=while(#a<N, A086793(n++)==k&&a=concat(a, n)); a); T=vector(20, n, f(n, 21-n)); for(n=1, 20, for(k=1, n, print1(T[k][n-k+1]", ")))

CROSSREFS

Cf. A034690, A086793, A094501.

Sequence in context: A220393 A344659 A109847 * A122459 A092537 A226799

Adjacent sequences: A260056 A260057 A260058 * A260060 A260061 A260062

KEYWORD

nonn,base,tabl

AUTHOR

M. F. Hasler, Nov 08 2015

STATUS

approved

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Last modified December 6 19:33 EST 2022. Contains 358648 sequences. (Running on oeis4.)