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A341740 a(n) is the maximum value of the magic constant in a normal magic triangle of order n. 3
12, 23, 37, 54, 74, 97, 123, 152, 184, 219, 257, 298, 342, 389, 439, 492, 548, 607, 669, 734, 802, 873, 947, 1024, 1104, 1187, 1273, 1362, 1454, 1549, 1647, 1748, 1852, 1959, 2069, 2182, 2298, 2417, 2539, 2664, 2792, 2923, 3057, 3194, 3334, 3477, 3623, 3772, 3924 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

Table of n, a(n) for n=3..51.

Terrel Trotter, Normal Magic Triangles of Order n, Journal of Recreational Mathematics Vol. 5, No. 1, 1972, pp. 28-32.

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

O.g.f.: x^3*(12 - 13*x + 4*x^2))/(1 - x)^3.

E.g.f.: 3 + x - 2*x^2 - exp(x)*(6 - 4*x - 3*x^2)/2.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 5.

a(n) = (3*n^2 + n - 6)/2 for n > 2.

a(n) = A285009(n) + A016777(n-2) - 1 for n > 3.

a(n) = A095794(n) - 2 = A140090(n-1) - 1. - Hugo Pfoertner, Feb 18 2021

MATHEMATICA

LinearRecurrence[{3, -3, 1}, {12, 23, 37}, 49]

CROSSREFS

Cf. A005449, A016777, A095794, A130808, A140090, A179805, A285009.

Sequence in context: A049852 A045532 A255729 * A190426 A207539 A083683

Adjacent sequences:  A341737 A341738 A341739 * A341741 A341742 A341743

KEYWORD

nonn,easy

AUTHOR

Stefano Spezia, Feb 18 2021

STATUS

approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)