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 A116865 Characteristic array for partitions with only prime parts. 3
 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The row length sequence of this array is p(n)=A000041(n) (number of partitions). The partitions of n are ordered according to Abramowitz-Stegun (A-St), pp. 831-2. LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972. W. Lang: First 10 rows. FORMULA a(n,k)= 1 if the k-th partition of n, in the Abramowitz-Stegun order, has only prime parts, else 0. See A000040 for the prime numbers. EXAMPLE [0];[1, 0]; [1, 0, 0]; [0, 0, 1, 0, 0]; [1, 0, 1, 0, 0, 0, 0]; ... a(4,3)=1 because the third partition of 4 is, in A-St order, (2,2) which has only prime numbers as parts. Each of the other four partitions of 4 has at least one part which is not a prime number. CROSSREFS See also array A116864. Row sums give A000607(n), n>=1. Sequence in context: A179829 A172486 A288223 * A288512 A157687 A189668 Adjacent sequences:  A116862 A116863 A116864 * A116866 A116867 A116868 KEYWORD nonn,easy,tabf AUTHOR Wolfdieter Lang, Mar 24 2006 STATUS approved

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Last modified September 24 01:21 EDT 2020. Contains 337315 sequences. (Running on oeis4.)