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A053732 Number of ways to partition {1,...,n} into arithmetic progressions of length >= 1. 1
1, 2, 5, 13, 37, 111, 359, 1211, 4338, 16205, 63305, 254803, 1073370, 4638359, 20731961, 95072041, 449599410, 2170162939, 10782813595, 54579794359, 283240154578 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

a(4) gives the total number of partitions of {1,2,3,4} (Bell(4); see A000110) excluding the partitions {1,2,4}{3} and {1,3,4}{2}. Hence a(4) = 15 - 2 = 13.

CROSSREFS

Cf. A000110.

Sequence in context: A003080 A149854 A151442 * A216617 A243412 A170941

Adjacent sequences:  A053729 A053730 A053731 * A053733 A053734 A053735

KEYWORD

more,nonn,nice

AUTHOR

Marty Getz (ffmpg1(AT)uaf.edu) and Dixon Jones (fndjj(AT)uaf.edu), Feb 13 2000

EXTENSIONS

More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 20 2001

a(15)-a(21) from Giovanni Resta, Feb 23 2009

STATUS

approved

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Last modified November 21 11:17 EST 2014. Contains 249777 sequences.