A381252 Decimal expansion of the area of the biggest little octagon.

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

Offset

0,1

Comments

An algebraic number of degree 42.

Links

Table of n, a(n) for n=0..119.

Greg Hurst, A closed form expression for the area of the 'biggest little' octagon and decagon.

Eric Weisstein's World of Mathematics, Biggest Little Polygon.

Index entries for algebraic numbers, degree 42

Example

0.7268684827516267668381865381...

Mathematica

RealDigits[Root[-478425365462547737405343343 + 3773041038347596515021000956 # + 5833707081723328603647313856 #^2 - 76143004877906320975709476552 #^3 - 23523528029439955698746202488 #^4 + 647330513128418259524157203072 #^5 + 10555168880874361068013425792 #^6 - 3078428637636379850280988117504 #^7 + 367361764236902187872898865664 #^8 + 9147034213711759916391887323136 #^9 - 2370238736752843325635609948160 #^10 - 17935820857956814364517526943744 #^11 + 8009206689639186621822611818496 #^12 + 23588130061203336356460301369344 #^13 - 16192270866005062836001824866304 #^14 - 20027080947914571766986403610624 #^15 + 20104198057699941048810876698624 #^16 + 9574865040443004381891485761536 #^17 - 15455347946546823025854527832064 #^18 - 1491865144134539091913264332800 #^19 + 7452392569346922858753860567040 #^20 - 680235061366055307103034146816 #^21 - 2358897389358876839124819509248 #^22 + 332708870397989105275274002432 #^23 + 601318123428810231261639475200 #^24 - 42551878829792132053254275072 #^25 - 148064818635686576530703515648 #^26 - 7175008161182179668028030976 #^27 + 30114159874526648530622218240 #^28 + 4631615507099121446555746304 #^29 - 5240302758882335722850746368 #^30 - 1917928307706587784371240960 #^31 + 335103297887714904283021312 #^32 + 282207246119748476170403840 #^33 + 29758395462703081578299392 #^34 - 17594041430635084655886336 #^35 - 5317091837915248694657024 #^36 - 90234644551552032833536 #^37 - 19803120195082488119296 #^38 + 7670386770149352931328 #^39 + 2605602600411474165760 #^40 - 442721857769029238784 #^41 + 147573952589676412928 #^42& , 11, 0], 10, 120][[1]]

Crossrefs

Cf. A111969 (hexagon), A383173 (decagon).

Sequence in context: A199075 A228045 A011361 * A199433 A095398 A073330

Adjacent sequences: A381249 A381250 A381251 * A381253 A381254 A381255

Keyword

nonn,cons

Author

Eric W. Weisstein, Apr 17 2025

Status

approved