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A350380
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Triangle read by rows in which row n lists A014963(d), the exponential of Mangoldt function, for each divisor d of n.
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1
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1, 1, 2, 1, 3, 1, 2, 2, 1, 5, 1, 2, 3, 1, 1, 7, 1, 2, 2, 2, 1, 3, 3, 1, 2, 5, 1, 1, 11, 1, 2, 3, 2, 1, 1, 1, 13, 1, 2, 7, 1, 1, 3, 5, 1, 1, 2, 2, 2, 2, 1, 17, 1, 2, 3, 1, 3, 1, 1, 19, 1, 2, 2, 5, 1, 1, 1, 3, 7, 1, 1, 2, 11, 1, 1, 23, 1, 2, 3, 2, 1, 2, 1, 1, 1, 5, 5, 1, 2, 13, 1
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OFFSET
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1,3
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1;
1, 2;
1, 3;
1, 2, 2;
1, 5;
1, 2, 3, 1;
1, 7;
1, 2, 2, 2;
1, 3, 3;
1, 2, 5, 1;
...
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MATHEMATICA
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Table[Exp[MangoldtLambda[Divisors[n]]], {n, 1, 26}] // Flatten (* Amiram Eldar, Dec 28 2021 *)
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PROG
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(PARI) M(n) = ispower(n, , &n); if(isprime(n), n, 1); \\ A014963
row(n) = apply(M, divisors(n));
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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