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A139100 Triangle read by rows: row n lists all partitions of n in the order produced by the shell model of partitions A138151. 5
1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 4, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 5, 3, 2, 4, 1, 2, 2, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 4, 2, 3, 3, 2, 2, 2, 5, 1, 3, 2, 1, 4, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 5, 2, 4, 3, 3, 2, 2, 6, 1, 4, 2, 1, 3, 3, 1, 2, 2, 2, 1, 5, 1, 1, 3, 2, 1, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See the integrated diagram of partitions in the entry A138138.

See A138151 for more information.

First 43 members = A026792.

LINKS

Robert Price, Table of n, a(n) for n = 1..7043, 17 rows.

EXAMPLE

Triangle begins:

{(1)}

{(2), (1, 1)}

{(3), (2, 1), (1, 1, 1)}

{(4), (2, 2), (3, 1), (2, 1, 1), (1, 1, 1, 1)}

{(5), (3, 2), (4, 1), (2, 2, 1), (3, 1, 1), (2, 1, 1, 1), (1, 1, 1, 1, 1)}

MATHEMATICA

Table[If[n == 1, ConstantArray[{1}, i - n + 1],

   Map[(Join[#, ConstantArray[{1}, i - n]]) &,

    Cases[IntegerPartitions[n], x_ /; Last[x] != 1]]], {i, 7}, {n, i, 1, -1}]  // Flatten(* Robert Price, May 28 2020 *)

CROSSREFS

Cf. A000041, A006128, A026792, A036036, A080576, A080577, A135010, A138121, A138135, A138136, A138137, A138138, A138151.

Sequence in context: A277648 A026792 A334301 * A237982 A239512 A334439

Adjacent sequences:  A139097 A139098 A139099 * A139101 A139102 A139103

KEYWORD

nonn,tabf,less,changed

AUTHOR

Omar E. Pol, Apr 15 2008

STATUS

approved

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Last modified May 30 08:04 EDT 2020. Contains 334712 sequences. (Running on oeis4.)