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 A182740 A shell model of partitions as a table of partitions. 6
 1, 2, 1, 3, 0, 1, 2, 0, 1, 1, 4, 0, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This array read by antidiagonals is a table of partitions for all integers. For another version but as a binary code see A182741. For more information see A135010 and A138121 which are the main entries for this sequence. LINKS EXAMPLE For the numbers 1..6 the shell model of partitions has 6 shells. The model as a table looks like this: 1 1 1 1 1 1 2 . 1 1 1 1 3 . . 1 1 1 2 . 2 . 1 1 4 . . . 1 1 3 . . 2 . 1 5 . . . . 1 2 . 2 . 2 . 4 . . . 2 . 3 . . 3 . . 6 . . . . . Then replace the dots by zeros. Remarks: one number by column, for example 23 is located only in a column, not in two columns. The table looks like this: 1 1 1 1 1 1 2 0 1 1 1 1 3 0 0 1 1 1 2 0 2 0 1 1 4 0 0 0 1 1 3 0 0 2 0 1 5 0 0 0 0 1 2 0 2 0 2 0 4 0 0 0 2 0 3 0 0 3 0 0 6 0 0 0 0 0 Array begins: 1,1,1,1,1,1, 2,0,1,1,1, 3,0,0,1, 2,0,2, 4,0, 3, CROSSREFS Cf. A135010, A138121, A182741, A182742, A182743. Sequence in context: A317367 A071431 A277322 * A228786 A140699 A140256 Adjacent sequences:  A182737 A182738 A182739 * A182741 A182742 A182743 KEYWORD nonn,tabl,more AUTHOR Omar E. Pol, Nov 30 2010 STATUS approved

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Last modified October 20 02:18 EDT 2019. Contains 328244 sequences. (Running on oeis4.)