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

0,2

Comments

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

Links

Table of n, a(n) for n=0..45.

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

Crossrefs

Sequence in context: A236179 A226044 A065790 * A304229 A305039 A305585

Adjacent sequences: A147789 A147790 A147791 * A147793 A147794 A147795

Keyword

nonn,less

Author

Paul Curtz, Nov 13 2008

Extensions

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

Status

approved