The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A201916 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A201916

Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2737)^2 = y^2.
(history; published version)

#16 by Giovanni Resta at Mon May 18 08:10:12 EDT 2015

STATUS

reviewed

approved

#15 by Joerg Arndt at Mon May 18 06:40:54 EDT 2015

STATUS

proposed

reviewed

#14 by Colin Barker at Mon May 18 06:32:27 EDT 2015

STATUS

editing

proposed

#13 by Colin Barker at Mon May 18 06:30:40 EDT 2015

LINKS

Colin Barker, <a href="/A201916/b201916.txt">Table of n, a(n) for n = 1..1000</a>

FORMULA

G.f.: x^2*(73*x^53 +116*x^52 +100*x^51 +171*x^50 +104*x^49 +184*x^48 +57*x^47 +92*x^46 +55*x^45 +80*x^44 +88*x^43 +53*x^42 +139*x^41 +113*x^40 +139*x^39 +53*x^38 +88*x^37 +80*x^36 +55*x^35 +92*x^34 +57*x^33 +184*x^32 +104*x^31 +171*x^30 +100*x^29 +116*x^28 +73*x^27 -363*x^26 -568*x^25 -480*x^24 -797*x^23 -468*x^22 -792*x^21 -235*x^20 -368*x^19 -213*x^18 -300*x^17 -316*x^16 -183*x^15 -453*x^14 -339*x^13 -381*x^12 -135*x^11 -212*x^10 -180*x^9 -117*x^8 -184*x^7 -107*x^6 -312*x^5 -156*x^4 -229*x^3 -120*x^2 -128*x -75) / ((x -1)*(x^54 -6*x^27 +1)). - Colin Barker, May 18 2015

KEYWORD

nonn,easy

STATUS

approved

editing

#12 by Russ Cox at Fri Mar 30 17:23:03 EDT 2012

AUTHOR

_T. D. Noe (noe(AT)sspectra.com), _, Feb 09 2012

Discussion

Fri Mar 30

17:23

OEIS Server: https://oeis.org/edit/global/120

#11 by T. D. Noe at Tue Feb 14 22:30:13 EST 2012

STATUS

editing

approved

#10 by T. D. Noe at Tue Feb 14 22:30:03 EST 2012

COMMENTS

The crossref list is thought to be complete up to todayFeb 14 2012.

CROSSREFS

Cf. A204765 (239), A129991 (241), A207058 (263), A129626 (281), A205644 (287).

Cf. A205644 (287), A207059 (289), A129640 (313), A205672 (329), A129999 (337), A118611 (343).

Cf. A129999 (337), A118611 (343), A130610 (359), A129641 (409), A130645 (439), A130004 A207060 (449401).

Cf. A129641 (409), A207061 (433), A130645 (439), A130004 (449).

Cf. A207075 (479), A207076 (487), A207077 (497), A207078 (511).

Cf. A130017 (967), A118630 (2401), A118576 (16807), A201917 (84847).

STATUS

approved

editing

#9 by T. D. Noe at Thu Feb 09 19:40:15 EST 2012

STATUS

editing

approved

#8 by T. D. Noe at Thu Feb 09 19:40:12 EST 2012

FORMULA

a(n) = a(n-1) + 6*a(n-27) - 6*a(n-28) - a(n-54) + a(n-55), where the 55 initial terms can be computed using the Mathematica program.

STATUS

approved

editing

#7 by T. D. Noe at Thu Feb 09 18:41:51 EST 2012

STATUS

editing

approved