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A079034 Determinant of M(n), the n X n matrix defined by m(i,i)=1, m(i,j)=i-j. 1
1, 2, 7, 21, 51, 106, 197, 337, 541, 826, 1211, 1717, 2367, 3186, 4201, 5441, 6937, 8722, 10831, 13301, 16171, 19482, 23277, 27601, 32501, 38026, 44227, 51157, 58871, 67426, 76881, 87297, 98737, 111266, 124951, 139861, 156067, 173642, 192661 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Starting (1, 1, 2, 7, 21, 51, 106, ...), = Narayana transform (A001263) of [1, 0, 1, 0, 0, 0, ...]. - Gary W. Adamson, Jan 04 2008

LINKS

Table of n, a(n) for n=1..39.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = (n^4-n^2+12)/12; a(n) = A002415(n)+1.

G.f.: -x*(x^4-4*x^3+7*x^2-3*x+1) / (x-1)^5. - Colin Barker, Jun 24 2013

MATHEMATICA

LinearRecurrence[{5, -10, 10, -5, 1}, {1, 2, 7, 21, 51}, 50] (* Harvey P. Dale, Aug 17 2014 *)

CROSSREFS

Cf. A001263.

Sequence in context: A088157 A352017 A265316 * A265500 A212338 A246861

Adjacent sequences:  A079031 A079032 A079033 * A079035 A079036 A079037

KEYWORD

nonn,easy

AUTHOR

Benoit Cloitre, Feb 01 2003

STATUS

approved

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Last modified May 27 22:39 EDT 2022. Contains 354110 sequences. (Running on oeis4.)