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A340792 List in which n appears ceiling(d(n)/2) = A038548(n) times, where d(n) is the number of divisors of n. 3

%I #33 Jan 30 2021 11:39:02

%S 1,2,3,4,4,5,6,6,7,8,8,9,9,10,10,11,12,12,12,13,14,14,15,15,16,16,16,

%T 17,18,18,18,19,20,20,20,21,21,22,22,23,24,24,24,24,25,25,26,26,27,27,

%U 28,28,28,29,30,30,30,30,31,32,32,32,33,33,34,34,35,35,36,36,36,36,36

%N List in which n appears ceiling(d(n)/2) = A038548(n) times, where d(n) is the number of divisors of n.

%C The numbers in A075362 arranged in numerical order.

%H Charles Kusniec, <a href="/A340792/a340792_2.png">Bijection between OEIS sequence A340792 and the positive Triangular Multiplication Table</a>

%F T(n,k) = A161906(n,k) * A340791(n,k).

%e Array begins:

%e 1

%e 2

%e 3

%e 4 4

%e 5

%e 6 6

%e 7

%e 8 8

%e 9 9

%e 10 10

%e 11

%e 12 12 12

%e 13

%e 14 14

%e 15 15

%e 16 16 16

%e 17

%e 18 18 18

%e 19

%e 20 20 20

%e 21 21

%e 22 22

%e 23

%e 24 24 24 24

%o (PARI) row(n) = my(d=divisors(n), r1=select(x->(x<=sqrt(n)), d), r2=Vecrev(select(x->(x>=sqrt(n)), d))); vector(#r1, k, r1[k]*r2[k]); \\ _Michel Marcus_, Jan 22 2021

%Y Cf. A038548 (row lengths), A075362, A161906, A340791, A061017 (comparable array).

%K nonn,tabf

%O 1,2

%A _Charles Kusniec_, Jan 21 2021

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Last modified April 23 08:19 EDT 2024. Contains 371905 sequences. (Running on oeis4.)