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A064552
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a(0) = 1, a(n) = a(n-1) + 2*q(n) - n for n > 0, where q(n) = A064657(n) = q(|n-q(n-3)|) + q(|n-q(n-4)|) for n > 3, q(n) = 1 for n = 0, 1, 2, 3.
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4
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1, 2, 2, 1, 1, 4, 14, 31, 43, 44, 38, 31, 45, 56, 94, 105, 95, 96, 106, 109, 111, 140, 142, 171, 173, 174, 202, 229, 253, 232, 206, 187, 223, 210, 296, 271, 291, 360, 366, 451, 461, 468, 470, 477, 477, 534, 564, 567, 575, 532, 534, 589, 569, 622, 622, 693, 689, 640, 602, 567, 679
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OFFSET
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0,2
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COMMENTS
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Ill defined beyond n=866. - M. F. Hasler, Aug 28 2012
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LINKS
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Jinyuan Wang, Table of n, a(n) for n = 0..866
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MATHEMATICA
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a[0] = q[0] = q[1] = q[2] = q[3] = 1;
q[n_] := q[n] = q[Abs[n - q[n - 3]]] + q[Abs[n - q[n - 4]]];
a[n_] := a[n] = a[n - 1] + 2*(q[n] - n/2);
Table[a[n], {n, 0, 70} ]
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PROG
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(ARIBAS): function qfunc(n: integer): integer; var r: integer; begin if n < 4 then r := 1; else r := qfunc(abs(n - qfunc(n - 3))) + qfunc(abs(n - qfunc( n - 4))); end; return r; end; function a064552(n: integer); var k, r: integer; begin if n = 0 then r := 1; else r := a064552(n - 1) + round(2*(qfunc(n) - n/2)); end; return r; end; for n := 1 to 60 do write(a064552(n), " "); end; .
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CROSSREFS
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Cf. A064550, A064551, A064657.
Sequence in context: A331315 A360936 A361014 * A209543 A178655 A337278
Adjacent sequences: A064549 A064550 A064551 * A064553 A064554 A064555
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KEYWORD
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nonn,fini,full
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AUTHOR
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Roger L. Bagula, Oct 08 2001
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic, Matthew Conroy and Klaus Brockhaus, Oct 09 2001
Sequence A064657, and thus the present one, is ill defined beyond n=866. Keyword 'fini' added by M. F. Hasler, Aug 28 2012
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STATUS
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approved
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