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Some beautiful patterns resulting in palindromes After an exercice on Sloane's integer sequences A048611 and A048612 [ June 27, 1999 ]originally submitted by Felice Russo with description [ Least solutions for 'Difference between two squares is a repunit of length n' ] I discovered that some beautiful patterns resulting in palindromes could be constructed. 62 52 = 11 662 652 = 131 6662 6652 = 1331 66662 66652 = 13331 666662 666652 = 133331 62 52 = 11 562 452 = 1111 5562 4452 = 111111 55562 44452 = 11111111 555562 444452 = 1111111111 562 552 = 111 50562 50452 = 111111 5005562 5004452 = 111111111 500055562 500044452 = 111111111111All numbers are palindromes in the next 'nec plus ultra' (one infinite and one finite) marvelous patterns! 62 52 = 11 6562 5652 = 111111 656562 565652 = 1111111111 65656562 56565652 = 11111111111111 62 52 = 11 662 552 = 1331 6662 5552 = 135531 66662 55552 = 13577531 666662 555552 = 1357997531 P.S. Note the following observations 65656 + 56565 = 122221 a palindrome 1n1n1 is a pseudopalindrome ( n = 1 hence 1n = 101 = 09 ) | |||
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