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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
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
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.)