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 A144113 Weight array W={w(i,j)} of the natural number array A038722. 0
 1, 2, 1, 3, 1, 2, 4, 1, 1, 3, 5, 1, 1, 1, 4, 6, 1, 1, 1, 1, 5, 7, 1, 1, 1, 1, 1, 6, 8, 1, 1, 1, 1, 1, 1, 7, 9, 1, 1, 1, 1, 1, 1, 1, 8, 10, 1, 1, 1, 1, 1, 1, 1, 1, 9, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS In general, let w(i,j) be the weight of the unit square labeled by its northeast vertex (i,j) and for each (m,n), define S(m,n)=SUM{SUM{w(i,j), i=1,2,...,m, j=1,2,...,n}. Then S(m,n) is the weight of the rectangle [0,m]x[0,n]. We call W the weight array of S and we call S the accumulation array of W. For the case at hand, S is the array of natural numbers having the following antidiagonals: (1), then (3,2), then (6,5,4), then (10,9,8,7) and so on. LINKS FORMULA row 1: A000027 row n: n-1 followed by A000012, for n>1. EXAMPLE S(2,4)=1+1+2+3+2+1+1+1=14. CROSSREFS Sequence in context: A085392 A089384 A228812 * A304038 A301983 A165416 Adjacent sequences:  A144110 A144111 A144112 * A144114 A144115 A144116 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Sep 11 2008 STATUS approved

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Last modified September 26 16:43 EDT 2020. Contains 337374 sequences. (Running on oeis4.)