수학실험실 #13 Number Sequence

위 수배열에서 다음에 연속되는 수 2개를 찾아보세요. (총 15문제)

풀이

· 8723, 3872, 2387, => 7238 모든 숫자를 아래 자리수로 이동, 마지막 숫자는 맨앞으로
· 1, 4, 9, 18, 35, => 68 (×2+2, ×2+1, ×2+0, ×2-1, ×2-2, …)
· 23, 45, 89, 177, => 353 (×2-1, …)
· 7, 5, 8, 4, 9, 3, => 10, 2 홀수번째 7,8,9,10… 짝수번째 5,4,3,2…
· 3, 8, 15, 24, 35, => 48 (+5, +7, +9, +11, +13, …)
· 2, 4, 5, 10, 12, 24, 27, => 54, 58 (×2, +1, ×2, +2, ×2, +3, ×2, +4, …)
· 1, 3, 4, 7, 11, 18, => 29 (a+b=c, b+c=d, c+d=e, …)
· 99, 92, 86, 81, 77, => 74 (-7, -6, -5, -4, -3, …)
· 0, 4, 2, 6, 4, 8, => 6 (+4, -2, +4, -2, +4, -2, …)
· 1, 2, 6, 24, 120, =>720 (×2, ×3, ×4, ×5, ×6, …)
· 5, 7, 12, 19, 31, 50, => 81 (a+b=c, b+c=d, c+d=e, …)
· 31, 94, 47, 142, 71, 214, 107, 322, 161 => 484 (×3+1, /2, ×3+1, /2, …)
· 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, => 485, 1456 (/2, ×3+1, /2, ×3+1, …)
· 4, 7, 15, 29, 59, 117, => 235 (×2-1, ×2+1, ×2-1, …)
· 4, 4, 341, 6, 4, 4, 6, 6, 4, 4, 6, 10, 4, 4, 14, 6, 4, 4, 6, 6, 4, 4, 6, 22, 4, 4, 9, 6, => 4, 4

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2020년 11월 22일

2 responses on "수학실험실 #13 Number Sequence"

  1. Way cool! Some extremely valid points! I appreciate you penning this write-up and also the rest of the site is really good. Madalyn Maurise Yeorgi

  2. Sequences related to SUMO interaction motifs in herpes simplex virus 1 protein ICP0 act cooperatively to stimulate virus infection Herpes simplex virus type 1 immediate-early protein ICP0 is an E3 ubiquitin ligase of the RING finger class that degrades several cellular proteins during infection. This activity is essential for its functions in stimulating efficient lytic infection and productive reactivation from latency. ICP0 targets a number of proteins that are modified by the small ubiquitin-like SUMO family of proteins, and it includes a number of short sequences that are related to SUMO interaction motifs (SIMs). Therefore, ICP0 has characteristics that are related to those of cellular SUMO-targeted ubiquitin ligase enzymes. Here, we analyze the impact of mutation of a number of SIM-like sequences (SLSs) within ICP0 on HSV-1 replication and gene expression and their requirement for ICP0-mediated degradation of both sumoylated and unmodified promyelocytic leukemia (PML) and other sumoylated cellular proteins. One SLS in the central portion of the ICP0 sequence (SLS4) was found to be absolutely required for targeting cellular sumoylated species in general and sumoylated forms of PML other than those of PML isoform I. Mutation of a group of SLSs in the C-terminal quarter of ICP0 also reduced ICP0-mediated degradation of sumoylated PML in a cooperative manner. Although mutation of individual SLSs caused only modest decreases in viral replication, combined mutation of SLS4 with SLS sequences in the C-terminal quarter of the protein reduced plaque formation efficiency by up to two orders of magnitude. These results provide further evidence that the biological activities of ICP0 are connected with host cell sumoylation events.

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