The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A322761 Irregular triangle read by rows in which n-th row lists all partitions of n, in graded reverse lexicographic ordering, using a compressed notation. 9
 1, 2, 11, 3, 21, 111, 4, 31, 22, 211, 1111, 5, 41, 32, 311, 221, 2111, 11111, 6, 51, 42, 411, 33, 321, 3111, 222, 2211, 21111, 111111, 7, 61, 52, 511, 43, 421, 4111, 331, 322, 3211, 31111, 2221, 22111, 211111, 1111111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Officially this is deprecated, since one cannot distinguish between (for example) parts which are 11 and parts which are 1,1. However, it is in common use and is included for completeness. See A036037, A080577, etc., for uncompressed versions. LINKS Alois P. Heinz, Rows n = 1..28, flattened EXAMPLE Triangle begins: 1, 2, 11, 3, 21, 111, 4, 31, 22, 211, 1111, 5, 41, 32, 311, 221, 2111, 11111, 6, 51, 42, 411, 33, 321, 3111, 222, 2211, 21111, 111111, 7, 61, 52, 511, 43, 421, 4111, 331, 322, 3211, 31111, 2221, 22111, 211111, 1111111, ... ... MAPLE b:= (n, i)-> `if`(n=0 or i=1, [cat(1\$n)], [map(x->     cat(i, x), b(n-i, min(n-i, i)))[], b(n, i-1)[]]): T:= n-> map(parse, b(n\$2))[]: seq(T(n), n=1..10);  # Alois P. Heinz, Dec 30 2018 MATHEMATICA revlexsort[f_, c_] := OrderedQ[PadRight[{c, f}]]; Table[FromDigits /@ Sort[IntegerPartitions[n], revlexsort], {n, 1, 8}] // Flatten (* Jean-François Alcover, Oct 20 2020, after Gus Wiseman in A080577 *) CROSSREFS Cf. A000041 (number of terms in row n), A036037, A080577. See also A006128. First column gives A000027. Last elements of rows give A000042. Sequence in context: A127668 A261300 A068743 * A113736 A241596 A339616 Adjacent sequences:  A322758 A322759 A322760 * A322762 A322763 A322764 KEYWORD nonn,look,tabf,base,fini AUTHOR N. J. A. Sloane, Dec 30 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 15 02:12 EDT 2022. Contains 356122 sequences. (Running on oeis4.)