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A134000 Array read by antidiagonals: row n contains the positive integers each with exactly n positive "non-isolated divisors". A divisor, k, of n is non-isolated if (k-1) or (k+1) also divides n. 1

%I #11 Dec 09 2016 06:19:27

%S 2,6,4,12,18,8,30,20,54,10,60,42,24,66,14,90,72,126,36,78,16,180,168,

%T 84,150,40,102,22,360,210,270,120,294,48,114,26,630,660,240,330,132,

%U 306,56,138,28,420,924,1080,480,336,144,342,80,162,32,840,720,1200,1092,504

%N Array read by antidiagonals: row n contains the positive integers each with exactly n positive "non-isolated divisors". A divisor, k, of n is non-isolated if (k-1) or (k+1) also divides n.

%C The left column (column 1) of the array is sequence A133996. This array written as a sequence is a permutation of the even positive integers. The array starts at column 1 and row 2. (There are no integers with exactly 1 non-isolated divisor.)

%e 2 non-isolated divisors: 2, 4, 8, 10, 14, ...

%e 3 non-isolated divisors: 6, 18, 54, 66, ...

%e 4 non-isolated divisors: 12, 20, 24, ...

%e etc.

%Y Cf. A134001, A133996.

%K nonn,tabl

%O 2,1

%A _Leroy Quet_, Oct 01 2007

%E Extended by _Ray Chandler_, Jun 25 2008

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)