A147792 A quadrisection of A061042.

1, 64, 18, 256, 50, 576, 49, 1024, 81, 1600, 242, 2304, 338, 3136, 225, 4096, 289, 5184, 722, 6400, 882, 7744, 529, 9216, 625, 10816, 1458, 12544, 1682, 14400, 961, 16384, 1089, 18496, 2450, 20736, 2738, 23104, 1521, 25600, 1681, 28224, 3698, 30976, 4050, 33856

Offset: 0

Author

Paul Curtz, Nov 13 2008

Keywords

• nonn
• less

Comments

Related to the fractions that describe each fourth transition in the Brackett spectrum of hydrogen.

Links

• Index entries for linear recurrences with constant coefficients, signature (0, 3, 0, -6, 0, 10, 0, -12, 0, 12, 0, -10, 0, 6, 0, -3, 0, 1).

Formula

a(n)=A061042(4n+4).

Conjecture: a(n) = 3*a(n-2) -6*a(n-4) +10*a(n-6) -12*a(n-8) +12*a(n-10) -10*a(n-12) +6*a(n-14) - 3*a(n-16) +a(n-18). - R. J. Mathar, Nov 14 2008

Extensions

Index in formula corrected, extended by R. J. Mathar, Nov 14 2008