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A239607 (1-2*n^2)^2. 4
1, 1, 49, 289, 961, 2401, 5041, 9409, 16129, 25921, 39601, 58081, 82369, 113569, 152881, 201601, 261121, 332929, 418609, 519841, 638401, 776161, 935089, 1117249, 1324801, 1560001, 1825201, 2122849, 2455489, 2825761, 3236401, 3690241, 4190209, 4739329 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = sin(arcsin(n) - arccos(n))^2. G.f.: -(x^4+44*x^3+54*x^2-4*x+1) / (x-1)^5. - Colin Barker, May 24 2014

a(n) = A056220(n)^2. - Michel Marcus, May 27 2014

MATHEMATICA

Table[(1-2*n^2)^2 , {n, 0, 43}]

PROG

(PARI) vector(100, n, round(sin(asin(n-1) - acos(n-1))^2)) \\ Colin Barker, May 24 2014

(PARI) a(n)=(1-2*n^2)^2 \\ Charles R Greathouse IV, Jun 04 2014

CROSSREFS

Cf. A056220, A239608, A239609, A239610.

Sequence in context: A144407 A089552 A017354 * A227079 A251222 A250967

Adjacent sequences:  A239604 A239605 A239606 * A239608 A239609 A239610

KEYWORD

nonn,easy

AUTHOR

José María Grau Ribas, Mar 22 2014

STATUS

approved

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Last modified August 3 13:30 EDT 2021. Contains 346438 sequences. (Running on oeis4.)