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 A364842 Table read by antidiagonals: row n gives the Euler transform of the sequence (2,...,2,0,0,...) that contains n 2s followed by 0s. 0
 1, 1, 2, 1, 2, 3, 1, 2, 5, 4, 1, 2, 5, 8, 5, 1, 2, 5, 10, 14, 6, 1, 2, 5, 10, 18, 20, 7, 1, 2, 5, 10, 20, 30, 30, 8, 1, 2, 5, 10, 20, 34, 49, 40, 9, 1, 2, 5, 10, 20, 36, 59, 74, 55, 10, 1, 2, 5, 10, 20, 36, 63, 94, 110, 70, 11, 1, 2, 5, 10, 20, 36, 65, 104, 149, 158, 91, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..78. EXAMPLE Table begins: | 0 1 2 3 4 5 6 7 8 9 10 --+---------------------------------- 1 | 1 2 3 4 5 6 7 8 9 10 11 2 | 1 2 5 8 14 20 30 40 55 70 91 3 | 1 2 5 10 18 30 49 74 110 158 221 4 | 1 2 5 10 20 34 59 94 149 224 334 5 | 1 2 5 10 20 36 63 104 169 264 405 6 | 1 2 5 10 20 36 65 108 179 284 445 7 | 1 2 5 10 20 36 65 110 183 294 465 8 | 1 2 5 10 20 36 65 110 185 298 475 9 | 1 2 5 10 20 36 65 110 185 300 479 MATHEMATICA Seed[i_, n_] := ConstantArray[2, i]~Join~ConstantArray[0, n - i]; A364842Table[n_] := Table[Seed[i, n] // EulerTransform, {i, 1, n}] (*EulerTransform is defined in A005195*) CROSSREFS Cf. A000027 (row 1), A006918 (row 2), A117485 (row 3), A117486 ( row 4), A117487 (row 5), A160647 (row 6), A000712 (main diagonal). Analogous for initial 1s sequence A008284. Cf. A115994. Sequence in context: A134628 A064882 A065158 * A181842 A209564 A029653 Adjacent sequences: A364839 A364840 A364841 * A364843 A364844 A364845 KEYWORD nonn,tabl AUTHOR Peter Kagey, Nov 09 2023 STATUS approved

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Last modified May 21 16:27 EDT 2024. Contains 372738 sequences. (Running on oeis4.)