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Search: id:A132193
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| A132193 |
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Triangle whose n-th row is the list in increasing order of the integers which are the sum of squares of positive integers with sum n. The n-th row begins with n and ends with n^2. |
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1
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| 1, 2, 4, 3, 5, 9, 4, 6, 8, 10, 16, 5, 7, 9, 11, 13, 17, 25
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The n-th row is the list of possible dimensions of the commutant space of an n X n matrix A, i.e. the set of matrices M such that AM=MA. The number of terms of the n-th row is the number of partitions of the integer n.
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EXAMPLE
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T(4,1)=4 because 4=1+1+1+1 and 1^2+1^2+1^2+1^2=4 ; T(4,2)=6 because 4=2+1+1 and 2^2+1^2+1^2=6.
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CROSSREFS
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Sequence in context: A155850 A134464 A104472 this_sequence A091451 A082330 A082329
Adjacent sequences: A132190 A132191 A132192 this_sequence A132194 A132195 A132196
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KEYWORD
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nonn,tabf
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AUTHOR
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Roger Cuculiere (rcuculiere(AT)free.fr), Nov 05 2007
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