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 A048570 Triangle T(n,k) = number of divisors of binomial(n,k). 4
 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 4, 3, 1, 1, 2, 4, 4, 2, 1, 1, 4, 4, 6, 4, 4, 1, 1, 2, 4, 4, 4, 4, 2, 1, 1, 4, 6, 8, 8, 8, 6, 4, 1, 1, 3, 9, 12, 12, 12, 12, 9, 3, 1, 1, 4, 6, 16, 16, 18, 16, 16, 6, 4, 1, 1, 2, 4, 8, 16, 16, 16, 16, 8, 4, 2, 1, 1, 6, 8, 12, 12, 24, 24, 24 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS T. D. Noe, Rows n = 0..100 of triangle, flattened FORMULA T(n, k) = A000005(A007318(n, k)). - Michel Marcus, Mar 07 2020 EXAMPLE Triangle begins 1; 1, 1; 1, 2, 1; 1, 2, 2, 1; 1, 3, 4, 3, 1; 1, 2, 4, 4, 2, 1; 1, 4, 4, 6, 4, 4, 1; ... MATHEMATICA Flatten[Table[DivisorSigma[0, Binomial[n, k]], {n, 0, 12}, {k, 0, n}]] (* Stefano Spezia, Apr 07 2022 *) PROG (PARI) T(n, k) = if (n>=k, numdiv(binomial(n, k))); \\ Michel Marcus, Mar 07 2020 CROSSREFS Cf. A000005, A007318. Sequence in context: A156044 A180980 A275298 * A090806 A241926 A174446 Adjacent sequences: A048567 A048568 A048569 * A048571 A048572 A048573 KEYWORD nonn,tabl,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified June 21 05:50 EDT 2024. Contains 373540 sequences. (Running on oeis4.)