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 A347737 Zero together with the partial sums of A238005. 0
 0, 0, 0, 0, 1, 1, 2, 3, 5, 5, 7, 9, 11, 13, 15, 16, 20, 23, 25, 28, 31, 33, 37, 41, 45, 48, 52, 54, 59, 64, 67, 72, 78, 81, 86, 89, 94, 100, 106, 110, 116, 122, 126, 132, 138, 141, 148, 155, 162, 168, 174, 179, 186, 193, 198, 204, 212, 218, 226, 234, 240, 248, 256, 260 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS a(n) is also the total number of ones in the first n rows of A347579, n >= 1. LINKS Table of n, a(n) for n=0..63. FORMULA a(n) = A006463(n+1) - A060831(n). MATHEMATICA Accumulate@Table[Length@Select[Select[IntegerPartitions@n, DuplicateFreeQ], Differences@MinMax@#=={Length@#}&], {n, 60}] (* Giorgos Kalogeropoulos, Sep 12 2021 *) CROSSREFS a(n) is also the total number of zeros in the first n rows of the triangles A196020, A211343, A231345, A236106, A237048 (simpler), A239662, A261699, A271344, A272026, A280850, A285574, A285891, A285914, A286013, A296508 (and possibly others), n >= 1. Cf. A001227, A003056, A006463, A060831, A237593, A238005, A347579. Sequence in context: A187322 A335429 A156899 * A332286 A357250 A156898 Adjacent sequences: A347734 A347735 A347736 * A347738 A347739 A347740 KEYWORD nonn AUTHOR Omar E. Pol, Sep 11 2021 STATUS approved

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Last modified May 29 07:13 EDT 2023. Contains 363029 sequences. (Running on oeis4.)