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A352015 Square array read by antidiagonals upwards: T(n,k) is the n-th number m such that the symmetric representation of sigma(m) has at least one subpart k, with n >= 1, k >= 1, m >= 1. 1

%I #28 Mar 13 2022 19:06:28

%S 1,6,3,15,18,2,28,45,5,7,45

%N Square array read by antidiagonals upwards: T(n,k) is the n-th number m such that the symmetric representation of sigma(m) has at least one subpart k, with n >= 1, k >= 1, m >= 1.

%e The corner of the square array looks like this:

%e 1, 3, 2, 7, ...

%e 6, 18, 5, ...

%e 15, 45, ...

%e 28, ...

%e ...

%e For n = 3 and k = 2 we have that 45 is the third positive integer m whose symmetric representation of sigma(m) has at least one subpart 2, so T(3,2) = 45.

%e For n = 5 and k = 1 we have that 45 is also the fifth positive integer m whose symmetric representation of sigma(m) has at least one subpart 1, so T(5,1) = 45.

%Y Row 1 gives A351904.

%Y Column 1 gives A000384.

%Y Cf. A000203, A001227 (number of subparts), A196020, A235791, A236104, A237270, A237271, A237591, A237593, A279387 (definition of subparts), A280850, A280851 (subparts), A296508, A346875, A347529, A351819.

%K nonn,tabl,more

%O 1,2

%A _Omar E. Pol_, Feb 28 2022

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Last modified July 12 05:18 EDT 2024. Contains 374237 sequences. (Running on oeis4.)