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 A165194 Triangle of 2^n terms by rows, left half of (n+1)-th row = row n; right half = "reverse and increment" row n; using terms in A000110. 3
 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 5, 2, 1, 1, 1, 2, 1, 2, 5, 2, 1, 1, 2, 5, 15, 5, 2, 5, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Row sums = A000110, the Bell sequence starting with offset 1; (1, 2, 5, 15,...). Rows tend to A165195. LINKS FORMULA Given the Bell sequence, A000110: (1, 1, 2, 5, 15,...); row 1 = 1, row 2 = (1, 1);...where left half of row (n+1) = row n. Right half of row (n+1) = reversal of row n, replacing terms with the next Bell number. EXAMPLE First few rows of the triangle = 1; 1, 1; 1, 1, 2, 1; 1, 1, 2, 1, 2, 5, 2, 1; 1, 1, 2, 1, 2, 5, 2, 1, 2, 5, 15, 5, 2, 5, 2, 1; ... For example: row 4, left half = (1, 1, 2, 1); right half = (1, 2, 1, 1) replaced with the next higher Bell numbers: (2, 5, 2, 1). Appending the two \kQ halves, we obtain row 4: (1, 1, 2, 1, 2, 5, 2, 1), sum = 15 = A000110(4). CROSSREFS Sequence in context: A331310 A241597 A074807 * A002951 A331287 A093993 Adjacent sequences:  A165191 A165192 A165193 * A165195 A165196 A165197 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 06 2009 STATUS approved

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Last modified July 31 06:15 EDT 2021. Contains 346369 sequences. (Running on oeis4.)