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Search: id:A082775
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| A082775 |
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Convolution of natural numbers >= 2 and the partition numbers (A000041). |
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+0
4
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| 2, 5, 11, 21, 38, 64, 105, 165, 254, 381, 562, 813, 1162, 1636, 2279, 3139, 4285, 5794, 7776, 10353, 13694, 17992, 23502, 30520, 39433, 50687, 64855, 82607, 104785, 132375, 166608, 208921, 261090, 325196, 403779, 499818, 616928, 759335, 932135
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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a(n) is conjectured to appear in the following array of sequences: (column sums = A035310):
1.2..3..5..7..11..15..22..30......A000041
..2..4..7.12..19..30..45..67......A000070
........9.16..29..47..77.118......A000291
.....5.11.21..38..64.105.165.......a(n)
..........26...?
..........36...?
.......15.52.203.877.4140.....A000110 = Bell numbers
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FORMULA
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a(n)= a(n-1)+A000041(n) + A000070(n) for n>1 - Alford Arnold (Alford1940(AT)aol.com), Dec 10 2007
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EXAMPLE
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For example, a(7) = 64 because we can write (7,5,3,2,1,1) times (2,3,4,5,6,7) equals 14+15+12+10+6+7
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CROSSREFS
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Cf. A023548.
Sequence in context: A003522 A112805 A119970 this_sequence A023548 A000785 A049936
Adjacent sequences: A082772 A082773 A082774 this_sequence A082776 A082777 A082778
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KEYWORD
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easy,nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), May 22 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 11 2003
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