A382280 Area of the Pythagoras Tree.

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

Offset

2,2

Comments

Toby Cathcart Burn computes this area and proves that it is rational, see Burn's link.

Periodic with least period 24991809055165165344114049684963169385417186421266758748239197727845219724417438120079735462625442123052.

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

Toby Cathcart Burn, The Area of the Pythagoras Tree (2022).

Example

14.613369478706703486865695140454225570615938436697001039271706874629593265234771....

Mathematica

First[ RealDigits[ 12823413011547414368862997525616691741041579688920794331363953564934456759066858494476606822552437442098640979 / 877512406035620068631903180662851572553488753575243048137500508983979170248733422547196905684808937723408093, 10, 100]] (* Paolo Xausa, Nov 25 2025 *)

Prog

(PARI) 12823413011547414368862997525616691741041579688920794331363953564934456759066858494476606822552437442098640979/877512406035620068631903180662851572553488753575243048137500508983979170248733422547196905684808937723408093. \\ Charles R Greathouse IV, Mar 20 2025

Crossrefs

Related to A276647 and A276677, though growth termination may make their areas differ.

Cf. A391040.

Sequence in context: A255695 A246489 A343624 * A309445 A051261 A382551

Adjacent sequences: A382277 A382278 A382279 * A382281 A382282 A382283

Keyword

nonn,cons,easy

Author

Charles R Greathouse IV, Mar 20 2025

Status

approved