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 A182848 Joint-rank array of the numbers j*(i-1+r), where r=sqrt(5), i>=1, j>=1, by antidiagonals. 1
 1, 4, 2, 8, 7, 3, 12, 14, 11, 5, 17, 22, 21, 16, 6, 24, 30, 33, 29, 20, 9, 28, 40, 45, 44, 38, 26, 10, 35, 51, 59, 61, 57, 47, 32, 13, 41, 60, 73, 80, 77, 69, 56, 37, 15, 49, 71, 88, 97, 101, 94, 84, 66, 43, 18, 55, 82, 103, 115, 124, 123, 113, 99, 76, 50, 19, 64 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Joint-rank arrays are defined in the first comment at A182801. LINKS FORMULA T(i,j)=SUM{floor(j*(i-1+r)/(k-1+r): r=sqrt(5), k>=1} for i>=1, j>=1. EXAMPLE Northwest corner: 1....4....8...12...17... 2....7...14...22...30... 3...11...21...33...45... 5...16...29...44...61... MATHEMATICA r=Sqrt[5]; f[i_, j_]:=Sum[Floor[j*(i-1+r)/(k-1+r)], {k, 1, 1+r+j(i-1+r)}]; TableForm[Table[f[i, j], {i, 1, 10}, {j, 1, 10}]] CROSSREFS Cf. A182801, A182846. Sequence in context: A098798 A131783 A094312 * A197016 A198145 A143942 Adjacent sequences:  A182845 A182846 A182847 * A182849 A182850 A182851 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Dec 08 2010 STATUS approved

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