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A119522 Determinant of n X n matrix of first n^2 nonzero terms of triangular numbers. +0
1
1, -8, -27, 0, 0, 0, 0 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = determinant of n X n matrix of first n^2 nonzero terms of A000217(k) for k>0. a(n) = determinant of n X n matrix of k*(k+1)/2 for k from 1 through n^2.

EXAMPLE

a(3) = -27 =

|.1..3..6|

|10.15.21|

|28.36.45|.

a(4) = 0 because of the singular matrix 0 =

|.1...3...6..10|

|15..21..28..36|

|45..55..66..78|

|91.105.120.136|.

CROSSREFS

Cf. A000217, A119493.

Adjacent sequences: A119519 A119520 A119521 this_sequence A119523 A119524 A119525

Sequence in context: A129663 A112646 A084825 this_sequence A070494 A070493 A070492

KEYWORD

easy,sign

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), May 27 2006

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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