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 A319080 Sequence, read by rows, encoding an infinite sequence of diamond-shaped arrays of nonnegative integers (see example). 0
 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 COMMENTS The sum of each figure corresponds to A005900; Figure 1: 0 = 0; Figure 2: 0+0+1+0+0 = 1; Figure 3: 0+0+1+0+0+1+2+1+0+0+1+0+0 = 6; Figure n: 0+0+1+0+0+1+2+1+0+...+n+...0+1+2+1+0+0+1+0+0 = A005900(n). LINKS EXAMPLE Figure 1 has just 0. Figure 2 would look like a 1 surrounded by 0's. Figure 3 would look like a 2 surrounded by 1's surrounded by 0's, etc. Read by rows, the sequence starts: Figure 1: 0;                      0 Figure 2: 0, 0, 1, 0, 0;                      0                    0 1 0                      0 Figure 3: 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0;                      0                    0 1 0                  0 1 2 1 0                    0 1 0                      0 Figure 4: 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0;                      0                    0 1 0                  0 1 2 1 0                0 1 2 3 2 1 0                  0 1 2 1 0                    0 1 0                      0 ... MATHEMATICA f[n_] := Join[#, Rest@ Reverse@ #] &@ Range[0, n]; Array[Flatten[f /@ f@ #] &, 5, 0] // Flatten (* Michael De Vlieger, Sep 10 2018 *) CROSSREFS Cf. A001477, A005900. Sequence in context: A115079 A286562 A185644 * A025435 A304685 A186714 Adjacent sequences:  A319077 A319078 A319079 * A319081 A319082 A319083 KEYWORD nonn,tabf AUTHOR Kritsada Moomuang, Sep 09 2018 STATUS approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)