A296042 Decimal expansion of sqrt(1 + 2*sqrt(2 + 3*sqrt(3 + 4*sqrt(4 + 5*sqrt(5 + 6*sqrt(6 + ...)))))).

3, 0, 8, 3, 3, 5, 5, 1, 4, 1, 8, 3, 0, 6, 9, 4, 4, 5, 8, 0, 5, 1, 1, 4, 2, 5, 8, 0, 0, 8, 8, 1, 7, 1, 9, 3, 0, 6, 0, 1, 4, 7, 8, 4, 9, 3, 3, 0, 0, 2, 3, 5, 3, 5, 5, 4, 9, 4, 8, 4, 1, 4, 7, 6, 5, 4, 8, 3, 4, 3, 1, 0, 7, 0, 2, 1, 4, 3, 3, 8, 1, 0, 0, 2, 5, 7, 9, 0, 6, 5, 8, 1, 1, 1, 5, 2, 3, 7, 8, 2

Offset

1,1

Comments

Decimal expansion of sqrt(1 + sqrt(8 + sqrt(432 + sqrt(1327104 + ... + sqrt(k*A030450(k) + ...))))).

Links

Table of n, a(n) for n=1..100.

Eric Weisstein's World of Mathematics, Nested Radical

Example

3.0833551418306944580511425800881719306014784933...

Crossrefs

Cf. A030450, A072449, A099876, A099879, A105546, A105817, A239349, A254689, A257574, A257575, A257576, A257577, A257578.

Sequence in context: A186744 A200507 A348333 * A361982 A372827 A180661

Adjacent sequences: A296039 A296040 A296041 * A296043 A296044 A296045

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Dec 03 2017

Status

approved