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

Author

Charles R Greathouse IV, Mar 20 2025

Keywords

• nonn
• cons
• easy

Comments

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

Periodic with least period 24991809055165165344114049684963169385417186421266758748239197727845219724417438120079735462625442123052.

Examples

			14.613369478706703486865695140454225570615938436697001039271706874629593265234771....
		

Links

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

Crossrefs

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

Programs

PARI

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